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Finding the Fourth Proportional to 7,286.64, 10,068.80 and 5,187.12

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Solution

The fourth proportional to 7,286.64, 10,068.80 and 5,187.12 is: 7,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.64 : 10,068.80 = 5,187.12 : x
  2. Step 2: Convert to fraction form
    7,286.64/10,068.80 = 5,187.12/x
  3. Step 3: Cross multiply
    7,286.64x = 10,068.80 × 5,187.12
  4. Step 4: Simplify right side
    7,286.64x = 52,228,073.86
  5. Step 5: Solve for x
    x = 52,228,073.86/7,286.64
  6. Step 6: Final answer
    x = 7,167.65

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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.