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Finding the Fourth Proportional to 10,648.62, 15,974.74 and 5,966.62

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Solution

The fourth proportional to 10,648.62, 15,974.74 and 5,966.62 is: 8,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.62 : 15,974.74 = 5,966.62 : x
  2. Step 2: Convert to fraction form
    10,648.62/15,974.74 = 5,966.62/x
  3. Step 3: Cross multiply
    10,648.62x = 15,974.74 × 5,966.62
  4. Step 4: Simplify right side
    10,648.62x = 95,315,203.18
  5. Step 5: Solve for x
    x = 95,315,203.18/10,648.62
  6. Step 6: Final answer
    x = 8,950.94

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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.