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Finding the Fourth Proportional to 8,032.40, 12,046.80 and 5,278.40

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Solution

The fourth proportional to 8,032.40, 12,046.80 and 5,278.40 is: 7,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.40 : 12,046.80 = 5,278.40 : x
  2. Step 2: Convert to fraction form
    8,032.40/12,046.80 = 5,278.40/x
  3. Step 3: Cross multiply
    8,032.40x = 12,046.80 × 5,278.40
  4. Step 4: Simplify right side
    8,032.40x = 63,587,829.12
  5. Step 5: Solve for x
    x = 63,587,829.12/8,032.40
  6. Step 6: Final answer
    x = 7,916.42

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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.