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Finding the Fourth Proportional to 8,771.38, 13,159.50 and 4,878.52

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Solution

The fourth proportional to 8,771.38, 13,159.50 and 4,878.52 is: 7,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.38 : 13,159.50 = 4,878.52 : x
  2. Step 2: Convert to fraction form
    8,771.38/13,159.50 = 4,878.52/x
  3. Step 3: Cross multiply
    8,771.38x = 13,159.50 × 4,878.52
  4. Step 4: Simplify right side
    8,771.38x = 64,198,883.94
  5. Step 5: Solve for x
    x = 64,198,883.94/8,771.38
  6. Step 6: Final answer
    x = 7,319.13

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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.