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Finding the Fourth Proportional to 8,291.32, 12,438.84 and 4,398.46

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Solution

The fourth proportional to 8,291.32, 12,438.84 and 4,398.46 is: 6,598.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.32 : 12,438.84 = 4,398.46 : x
  2. Step 2: Convert to fraction form
    8,291.32/12,438.84 = 4,398.46/x
  3. Step 3: Cross multiply
    8,291.32x = 12,438.84 × 4,398.46
  4. Step 4: Simplify right side
    8,291.32x = 54,711,740.19
  5. Step 5: Solve for x
    x = 54,711,740.19/8,291.32
  6. Step 6: Final answer
    x = 6,598.68

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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.