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Finding the Fourth Proportional to 7,688.78, 10,611.52 and 4,332.24

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Solution

The fourth proportional to 7,688.78, 10,611.52 and 4,332.24 is: 5,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.78 : 10,611.52 = 4,332.24 : x
  2. Step 2: Convert to fraction form
    7,688.78/10,611.52 = 4,332.24/x
  3. Step 3: Cross multiply
    7,688.78x = 10,611.52 × 4,332.24
  4. Step 4: Simplify right side
    7,688.78x = 45,971,640.57
  5. Step 5: Solve for x
    x = 45,971,640.57/7,688.78
  6. Step 6: Final answer
    x = 5,979.06

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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.