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Finding the Fourth Proportional to 7,648.87, 11,473.17 and 2,102.20

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Solution

The fourth proportional to 7,648.87, 11,473.17 and 2,102.20 is: 3,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.87 : 11,473.17 = 2,102.20 : x
  2. Step 2: Convert to fraction form
    7,648.87/11,473.17 = 2,102.20/x
  3. Step 3: Cross multiply
    7,648.87x = 11,473.17 × 2,102.20
  4. Step 4: Simplify right side
    7,648.87x = 24,118,897.97
  5. Step 5: Solve for x
    x = 24,118,897.97/7,648.87
  6. Step 6: Final answer
    x = 3,153.26

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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.