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Finding the Fourth Proportional to 8,466.40, 12,707.70 and 4,311.10

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Solution

The fourth proportional to 8,466.40, 12,707.70 and 4,311.10 is: 6,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.40 : 12,707.70 = 4,311.10 : x
  2. Step 2: Convert to fraction form
    8,466.40/12,707.70 = 4,311.10/x
  3. Step 3: Cross multiply
    8,466.40x = 12,707.70 × 4,311.10
  4. Step 4: Simplify right side
    8,466.40x = 54,784,165.47
  5. Step 5: Solve for x
    x = 54,784,165.47/8,466.40
  6. Step 6: Final answer
    x = 6,470.77

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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.