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Finding the Fourth Proportional to 8,470.15, 12,702.80 and 5,889.49

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Solution

The fourth proportional to 8,470.15, 12,702.80 and 5,889.49 is: 8,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.15 : 12,702.80 = 5,889.49 : x
  2. Step 2: Convert to fraction form
    8,470.15/12,702.80 = 5,889.49/x
  3. Step 3: Cross multiply
    8,470.15x = 12,702.80 × 5,889.49
  4. Step 4: Simplify right side
    8,470.15x = 74,812,984.12
  5. Step 5: Solve for x
    x = 74,812,984.12/8,470.15
  6. Step 6: Final answer
    x = 8,832.55

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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.