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Finding the Fourth Proportional to 8,284.19, 11,432.14 and 4,600.64

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Solution

The fourth proportional to 8,284.19, 11,432.14 and 4,600.64 is: 6,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.19 : 11,432.14 = 4,600.64 : x
  2. Step 2: Convert to fraction form
    8,284.19/11,432.14 = 4,600.64/x
  3. Step 3: Cross multiply
    8,284.19x = 11,432.14 × 4,600.64
  4. Step 4: Simplify right side
    8,284.19x = 52,595,177.65
  5. Step 5: Solve for x
    x = 52,595,177.65/8,284.19
  6. Step 6: Final answer
    x = 6,348.87

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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.