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Finding the Fourth Proportional to 8,232.16, 11,358.84 and 5,436

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Solution

The fourth proportional to 8,232.16, 11,358.84 and 5,436 is: 7,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.16 : 11,358.84 = 5,436 : x
  2. Step 2: Convert to fraction form
    8,232.16/11,358.84 = 5,436/x
  3. Step 3: Cross multiply
    8,232.16x = 11,358.84 × 5,436
  4. Step 4: Simplify right side
    8,232.16x = 61,746,654.24
  5. Step 5: Solve for x
    x = 61,746,654.24/8,232.16
  6. Step 6: Final answer
    x = 7,500.66

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Why These Related Problems?

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