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Finding the Fourth Proportional to 8,287.17, 11,437.72 and 5,302.86

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Solution

The fourth proportional to 8,287.17, 11,437.72 and 5,302.86 is: 7,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.17 : 11,437.72 = 5,302.86 : x
  2. Step 2: Convert to fraction form
    8,287.17/11,437.72 = 5,302.86/x
  3. Step 3: Cross multiply
    8,287.17x = 11,437.72 × 5,302.86
  4. Step 4: Simplify right side
    8,287.17x = 60,652,601.36
  5. Step 5: Solve for x
    x = 60,652,601.36/8,287.17
  6. Step 6: Final answer
    x = 7,318.86

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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.