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Finding the Fourth Proportional to 8,715.57, 13,071.96 and 7,244.23

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Solution

The fourth proportional to 8,715.57, 13,071.96 and 7,244.23 is: 10,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.57 : 13,071.96 = 7,244.23 : x
  2. Step 2: Convert to fraction form
    8,715.57/13,071.96 = 7,244.23/x
  3. Step 3: Cross multiply
    8,715.57x = 13,071.96 × 7,244.23
  4. Step 4: Simplify right side
    8,715.57x = 94,696,284.79
  5. Step 5: Solve for x
    x = 94,696,284.79/8,715.57
  6. Step 6: Final answer
    x = 10,865.19

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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.