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Finding the Fourth Proportional to 10,397.10, 14,334.84 and 7,562.28

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Solution

The fourth proportional to 10,397.10, 14,334.84 and 7,562.28 is: 10,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.10 : 14,334.84 = 7,562.28 : x
  2. Step 2: Convert to fraction form
    10,397.10/14,334.84 = 7,562.28/x
  3. Step 3: Cross multiply
    10,397.10x = 14,334.84 × 7,562.28
  4. Step 4: Simplify right side
    10,397.10x = 108,404,073.84
  5. Step 5: Solve for x
    x = 108,404,073.84/10,397.10
  6. Step 6: Final answer
    x = 10,426.38

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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.