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Finding the Fourth Proportional to 8,648.72, 12,970.38 and 5,687

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Solution

The fourth proportional to 8,648.72, 12,970.38 and 5,687 is: 8,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.72 : 12,970.38 = 5,687 : x
  2. Step 2: Convert to fraction form
    8,648.72/12,970.38 = 5,687/x
  3. Step 3: Cross multiply
    8,648.72x = 12,970.38 × 5,687
  4. Step 4: Simplify right side
    8,648.72x = 73,762,551.06
  5. Step 5: Solve for x
    x = 73,762,551.06/8,648.72
  6. Step 6: Final answer
    x = 8,528.72

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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.