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Finding the Fourth Proportional to 10,625.10, 15,921.99 and 9,457.32

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Solution

The fourth proportional to 10,625.10, 15,921.99 and 9,457.32 is: 14,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,625.10 : 15,921.99 = 9,457.32 : x
  2. Step 2: Convert to fraction form
    10,625.10/15,921.99 = 9,457.32/x
  3. Step 3: Cross multiply
    10,625.10x = 15,921.99 × 9,457.32
  4. Step 4: Simplify right side
    10,625.10x = 150,579,354.47
  5. Step 5: Solve for x
    x = 150,579,354.47/10,625.10
  6. Step 6: Final answer
    x = 14,172.04

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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.