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Finding the Fourth Proportional to 10,574.33, 14,593.87 and 6,098.08

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Solution

The fourth proportional to 10,574.33, 14,593.87 and 6,098.08 is: 8,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.33 : 14,593.87 = 6,098.08 : x
  2. Step 2: Convert to fraction form
    10,574.33/14,593.87 = 6,098.08/x
  3. Step 3: Cross multiply
    10,574.33x = 14,593.87 × 6,098.08
  4. Step 4: Simplify right side
    10,574.33x = 88,994,544.17
  5. Step 5: Solve for x
    x = 88,994,544.17/10,574.33
  6. Step 6: Final answer
    x = 8,416.10

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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.