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Finding the Fourth Proportional to 8,288.13, 11,437.64 and 4,562.13

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Solution

The fourth proportional to 8,288.13, 11,437.64 and 4,562.13 is: 6,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.13 : 11,437.64 = 4,562.13 : x
  2. Step 2: Convert to fraction form
    8,288.13/11,437.64 = 4,562.13/x
  3. Step 3: Cross multiply
    8,288.13x = 11,437.64 × 4,562.13
  4. Step 4: Simplify right side
    8,288.13x = 52,180,000.57
  5. Step 5: Solve for x
    x = 52,180,000.57/8,288.13
  6. Step 6: Final answer
    x = 6,295.75

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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.