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Finding the Fourth Proportional to 10,665.88, 15,991.97 and 4,430.20

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Solution

The fourth proportional to 10,665.88, 15,991.97 and 4,430.20 is: 6,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.88 : 15,991.97 = 4,430.20 : x
  2. Step 2: Convert to fraction form
    10,665.88/15,991.97 = 4,430.20/x
  3. Step 3: Cross multiply
    10,665.88x = 15,991.97 × 4,430.20
  4. Step 4: Simplify right side
    10,665.88x = 70,847,545.53
  5. Step 5: Solve for x
    x = 70,847,545.53/10,665.88
  6. Step 6: Final answer
    x = 6,642.45

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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.