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Finding the Fourth Proportional to 11,457.99, 15,812.43 and 10,933.11

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Solution

The fourth proportional to 11,457.99, 15,812.43 and 10,933.11 is: 15,088.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.99 : 15,812.43 = 10,933.11 : x
  2. Step 2: Convert to fraction form
    11,457.99/15,812.43 = 10,933.11/x
  3. Step 3: Cross multiply
    11,457.99x = 15,812.43 × 10,933.11
  4. Step 4: Simplify right side
    11,457.99x = 172,879,036.56
  5. Step 5: Solve for x
    x = 172,879,036.56/11,457.99
  6. Step 6: Final answer
    x = 15,088.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.