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Finding the Fourth Proportional to 10,574.90, 14,593.17 and 6,098.84

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Solution

The fourth proportional to 10,574.90, 14,593.17 and 6,098.84 is: 8,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.90 : 14,593.17 = 6,098.84 : x
  2. Step 2: Convert to fraction form
    10,574.90/14,593.17 = 6,098.84/x
  3. Step 3: Cross multiply
    10,574.90x = 14,593.17 × 6,098.84
  4. Step 4: Simplify right side
    10,574.90x = 89,001,408.92
  5. Step 5: Solve for x
    x = 89,001,408.92/10,574.90
  6. Step 6: Final answer
    x = 8,416.29

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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.