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Finding the Fourth Proportional to 10,404.61, 14,343.95 and 7,042.10

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Solution

The fourth proportional to 10,404.61, 14,343.95 and 7,042.10 is: 9,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.61 : 14,343.95 = 7,042.10 : x
  2. Step 2: Convert to fraction form
    10,404.61/14,343.95 = 7,042.10/x
  3. Step 3: Cross multiply
    10,404.61x = 14,343.95 × 7,042.10
  4. Step 4: Simplify right side
    10,404.61x = 101,011,476.18
  5. Step 5: Solve for x
    x = 101,011,476.18/10,404.61
  6. Step 6: Final answer
    x = 9,708.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.