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Finding the Fourth Proportional to 10,156.79, 13,987.30 and 9,523.92

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Solution

The fourth proportional to 10,156.79, 13,987.30 and 9,523.92 is: 13,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.79 : 13,987.30 = 9,523.92 : x
  2. Step 2: Convert to fraction form
    10,156.79/13,987.30 = 9,523.92/x
  3. Step 3: Cross multiply
    10,156.79x = 13,987.30 × 9,523.92
  4. Step 4: Simplify right side
    10,156.79x = 133,213,878.60
  5. Step 5: Solve for x
    x = 133,213,878.60/10,156.79
  6. Step 6: Final answer
    x = 13,115.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.