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Finding the Fourth Proportional to 10,534.97, 14,539.03 and 6,060.13

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Solution

The fourth proportional to 10,534.97, 14,539.03 and 6,060.13 is: 8,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.97 : 14,539.03 = 6,060.13 : x
  2. Step 2: Convert to fraction form
    10,534.97/14,539.03 = 6,060.13/x
  3. Step 3: Cross multiply
    10,534.97x = 14,539.03 × 6,060.13
  4. Step 4: Simplify right side
    10,534.97x = 88,108,360.38
  5. Step 5: Solve for x
    x = 88,108,360.38/10,534.97
  6. Step 6: Final answer
    x = 8,363.42

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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.