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Finding the Fourth Proportional to 10,574.15, 14,593.88 and 6,097.03

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Solution

The fourth proportional to 10,574.15, 14,593.88 and 6,097.03 is: 8,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.15 : 14,593.88 = 6,097.03 : x
  2. Step 2: Convert to fraction form
    10,574.15/14,593.88 = 6,097.03/x
  3. Step 3: Cross multiply
    10,574.15x = 14,593.88 × 6,097.03
  4. Step 4: Simplify right side
    10,574.15x = 88,979,324.18
  5. Step 5: Solve for x
    x = 88,979,324.18/10,574.15
  6. Step 6: Final answer
    x = 8,414.80

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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.