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Finding the Fourth Proportional to 8,037.12, 12,036.12 and 5,565

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Solution

The fourth proportional to 8,037.12, 12,036.12 and 5,565 is: 8,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037.12 : 12,036.12 = 5,565 : x
  2. Step 2: Convert to fraction form
    8,037.12/12,036.12 = 5,565/x
  3. Step 3: Cross multiply
    8,037.12x = 12,036.12 × 5,565
  4. Step 4: Simplify right side
    8,037.12x = 66,981,007.80
  5. Step 5: Solve for x
    x = 66,981,007.80/8,037.12
  6. Step 6: Final answer
    x = 8,333.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.