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Finding the Fourth Proportional to 10,574.98, 14,593.41 and 6,098.68

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Solution

The fourth proportional to 10,574.98, 14,593.41 and 6,098.68 is: 8,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.98 : 14,593.41 = 6,098.68 : x
  2. Step 2: Convert to fraction form
    10,574.98/14,593.41 = 6,098.68/x
  3. Step 3: Cross multiply
    10,574.98x = 14,593.41 × 6,098.68
  4. Step 4: Simplify right side
    10,574.98x = 89,000,537.70
  5. Step 5: Solve for x
    x = 89,000,537.70/10,574.98
  6. Step 6: Final answer
    x = 8,416.14

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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.