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Finding the Fourth Proportional to 8,771.78, 13,159.80 and 2,615.78

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Solution

The fourth proportional to 8,771.78, 13,159.80 and 2,615.78 is: 3,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.78 : 13,159.80 = 2,615.78 : x
  2. Step 2: Convert to fraction form
    8,771.78/13,159.80 = 2,615.78/x
  3. Step 3: Cross multiply
    8,771.78x = 13,159.80 × 2,615.78
  4. Step 4: Simplify right side
    8,771.78x = 34,423,141.64
  5. Step 5: Solve for x
    x = 34,423,141.64/8,771.78
  6. Step 6: Final answer
    x = 3,924.31

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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.