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Finding the Fourth Proportional to 11,389.42, 15,716.95 and 6,609.12

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Solution

The fourth proportional to 11,389.42, 15,716.95 and 6,609.12 is: 9,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.42 : 15,716.95 = 6,609.12 : x
  2. Step 2: Convert to fraction form
    11,389.42/15,716.95 = 6,609.12/x
  3. Step 3: Cross multiply
    11,389.42x = 15,716.95 × 6,609.12
  4. Step 4: Simplify right side
    11,389.42x = 103,875,096.95
  5. Step 5: Solve for x
    x = 103,875,096.95/11,389.42
  6. Step 6: Final answer
    x = 9,120.32

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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.