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Finding the Fourth Proportional to 10,061.62, 13,883.85 and 5,812.63

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Solution

The fourth proportional to 10,061.62, 13,883.85 and 5,812.63 is: 8,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.62 : 13,883.85 = 5,812.63 : x
  2. Step 2: Convert to fraction form
    10,061.62/13,883.85 = 5,812.63/x
  3. Step 3: Cross multiply
    10,061.62x = 13,883.85 × 5,812.63
  4. Step 4: Simplify right side
    10,061.62x = 80,701,683.03
  5. Step 5: Solve for x
    x = 80,701,683.03/10,061.62
  6. Step 6: Final answer
    x = 8,020.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.