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Finding the Fourth Proportional to 10,044.12, 13,856.22 and 6,264.84

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Solution

The fourth proportional to 10,044.12, 13,856.22 and 6,264.84 is: 8,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044.12 : 13,856.22 = 6,264.84 : x
  2. Step 2: Convert to fraction form
    10,044.12/13,856.22 = 6,264.84/x
  3. Step 3: Cross multiply
    10,044.12x = 13,856.22 × 6,264.84
  4. Step 4: Simplify right side
    10,044.12x = 86,807,001.30
  5. Step 5: Solve for x
    x = 86,807,001.30/10,044.12
  6. Step 6: Final answer
    x = 8,642.57

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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.