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Finding the Fourth Proportional to 10,373.59, 14,315.91 and 5,897.17

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Solution

The fourth proportional to 10,373.59, 14,315.91 and 5,897.17 is: 8,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,373.59 : 14,315.91 = 5,897.17 : x
  2. Step 2: Convert to fraction form
    10,373.59/14,315.91 = 5,897.17/x
  3. Step 3: Cross multiply
    10,373.59x = 14,315.91 × 5,897.17
  4. Step 4: Simplify right side
    10,373.59x = 84,423,354.97
  5. Step 5: Solve for x
    x = 84,423,354.97/10,373.59
  6. Step 6: Final answer
    x = 8,138.30

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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.