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Finding the Fourth Proportional to 8,711.10, 13,078.80 and 5,430.60

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Solution

The fourth proportional to 8,711.10, 13,078.80 and 5,430.60 is: 8,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.10 : 13,078.80 = 5,430.60 : x
  2. Step 2: Convert to fraction form
    8,711.10/13,078.80 = 5,430.60/x
  3. Step 3: Cross multiply
    8,711.10x = 13,078.80 × 5,430.60
  4. Step 4: Simplify right side
    8,711.10x = 71,025,731.28
  5. Step 5: Solve for x
    x = 71,025,731.28/8,711.10
  6. Step 6: Final answer
    x = 8,153.47

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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.