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Finding the Fourth Proportional to 7,549.64, 10,414.14 and 5,187.68

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Solution

The fourth proportional to 7,549.64, 10,414.14 and 5,187.68 is: 7,156.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.64 : 10,414.14 = 5,187.68 : x
  2. Step 2: Convert to fraction form
    7,549.64/10,414.14 = 5,187.68/x
  3. Step 3: Cross multiply
    7,549.64x = 10,414.14 × 5,187.68
  4. Step 4: Simplify right side
    7,549.64x = 54,025,225.80
  5. Step 5: Solve for x
    x = 54,025,225.80/7,549.64
  6. Step 6: Final answer
    x = 7,156.00

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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.