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Finding the Fourth Proportional to 10,832.42, 14,948.75 and 5,864.42

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Solution

The fourth proportional to 10,832.42, 14,948.75 and 5,864.42 is: 8,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.42 : 14,948.75 = 5,864.42 : x
  2. Step 2: Convert to fraction form
    10,832.42/14,948.75 = 5,864.42/x
  3. Step 3: Cross multiply
    10,832.42x = 14,948.75 × 5,864.42
  4. Step 4: Simplify right side
    10,832.42x = 87,665,748.48
  5. Step 5: Solve for x
    x = 87,665,748.48/10,832.42
  6. Step 6: Final answer
    x = 8,092.91

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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.