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Finding the Fourth Proportional to 8,257.60, 12,386.40 and 5,633.20

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Solution

The fourth proportional to 8,257.60, 12,386.40 and 5,633.20 is: 8,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.60 : 12,386.40 = 5,633.20 : x
  2. Step 2: Convert to fraction form
    8,257.60/12,386.40 = 5,633.20/x
  3. Step 3: Cross multiply
    8,257.60x = 12,386.40 × 5,633.20
  4. Step 4: Simplify right side
    8,257.60x = 69,775,068.48
  5. Step 5: Solve for x
    x = 69,775,068.48/8,257.60
  6. Step 6: Final answer
    x = 8,449.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.