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Finding the Fourth Proportional to 10,642.60, 15,973.74 and 5,381.31

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Solution

The fourth proportional to 10,642.60, 15,973.74 and 5,381.31 is: 8,076.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.60 : 15,973.74 = 5,381.31 : x
  2. Step 2: Convert to fraction form
    10,642.60/15,973.74 = 5,381.31/x
  3. Step 3: Cross multiply
    10,642.60x = 15,973.74 × 5,381.31
  4. Step 4: Simplify right side
    10,642.60x = 85,959,646.80
  5. Step 5: Solve for x
    x = 85,959,646.80/10,642.60
  6. Step 6: Final answer
    x = 8,076.94

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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.