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Finding the Fourth Proportional to 10,072.92, 15,113.70 and 5,683.80

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Solution

The fourth proportional to 10,072.92, 15,113.70 and 5,683.80 is: 8,528.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.92 : 15,113.70 = 5,683.80 : x
  2. Step 2: Convert to fraction form
    10,072.92/15,113.70 = 5,683.80/x
  3. Step 3: Cross multiply
    10,072.92x = 15,113.70 × 5,683.80
  4. Step 4: Simplify right side
    10,072.92x = 85,903,248.06
  5. Step 5: Solve for x
    x = 85,903,248.06/10,072.92
  6. Step 6: Final answer
    x = 8,528.14

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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.