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Finding the Fourth Proportional to 8,919.24, 12,307.52 and 5,142.38

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Solution

The fourth proportional to 8,919.24, 12,307.52 and 5,142.38 is: 7,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.24 : 12,307.52 = 5,142.38 : x
  2. Step 2: Convert to fraction form
    8,919.24/12,307.52 = 5,142.38/x
  3. Step 3: Cross multiply
    8,919.24x = 12,307.52 × 5,142.38
  4. Step 4: Simplify right side
    8,919.24x = 63,289,944.70
  5. Step 5: Solve for x
    x = 63,289,944.70/8,919.24
  6. Step 6: Final answer
    x = 7,095.89

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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.