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Finding the Fourth Proportional to 8,614.40, 12,888.96 and 5,106.28

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Solution

The fourth proportional to 8,614.40, 12,888.96 and 5,106.28 is: 7,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.40 : 12,888.96 = 5,106.28 : x
  2. Step 2: Convert to fraction form
    8,614.40/12,888.96 = 5,106.28/x
  3. Step 3: Cross multiply
    8,614.40x = 12,888.96 × 5,106.28
  4. Step 4: Simplify right side
    8,614.40x = 65,814,638.67
  5. Step 5: Solve for x
    x = 65,814,638.67/8,614.40
  6. Step 6: Final answer
    x = 7,640.07

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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.