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Finding the Fourth Proportional to 8,407.32, 12,594.58 and 5,112.24

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Solution

The fourth proportional to 8,407.32, 12,594.58 and 5,112.24 is: 7,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.32 : 12,594.58 = 5,112.24 : x
  2. Step 2: Convert to fraction form
    8,407.32/12,594.58 = 5,112.24/x
  3. Step 3: Cross multiply
    8,407.32x = 12,594.58 × 5,112.24
  4. Step 4: Simplify right side
    8,407.32x = 64,386,515.66
  5. Step 5: Solve for x
    x = 64,386,515.66/8,407.32
  6. Step 6: Final answer
    x = 7,658.39

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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.