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Finding the Fourth Proportional to 8,466.60, 12,711.66 and 4,309.50

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Solution

The fourth proportional to 8,466.60, 12,711.66 and 4,309.50 is: 6,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.60 : 12,711.66 = 4,309.50 : x
  2. Step 2: Convert to fraction form
    8,466.60/12,711.66 = 4,309.50/x
  3. Step 3: Cross multiply
    8,466.60x = 12,711.66 × 4,309.50
  4. Step 4: Simplify right side
    8,466.60x = 54,780,898.77
  5. Step 5: Solve for x
    x = 54,780,898.77/8,466.60
  6. Step 6: Final answer
    x = 6,470.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.