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Finding the Fourth Proportional to 10,457.50, 15,686.12 and 2,666.22

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Solution

The fourth proportional to 10,457.50, 15,686.12 and 2,666.22 is: 3,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.50 : 15,686.12 = 2,666.22 : x
  2. Step 2: Convert to fraction form
    10,457.50/15,686.12 = 2,666.22/x
  3. Step 3: Cross multiply
    10,457.50x = 15,686.12 × 2,666.22
  4. Step 4: Simplify right side
    10,457.50x = 41,822,646.87
  5. Step 5: Solve for x
    x = 41,822,646.87/10,457.50
  6. Step 6: Final answer
    x = 3,999.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.