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Finding the Fourth Proportional to 10,881.72, 16,323.14 and 4,642.56

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Solution

The fourth proportional to 10,881.72, 16,323.14 and 4,642.56 is: 6,964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.72 : 16,323.14 = 4,642.56 : x
  2. Step 2: Convert to fraction form
    10,881.72/16,323.14 = 4,642.56/x
  3. Step 3: Cross multiply
    10,881.72x = 16,323.14 × 4,642.56
  4. Step 4: Simplify right side
    10,881.72x = 75,781,156.84
  5. Step 5: Solve for x
    x = 75,781,156.84/10,881.72
  6. Step 6: Final answer
    x = 6,964.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.