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Finding the Fourth Proportional to 10,856.66, 16,275.20 and 3,832.47

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Solution

The fourth proportional to 10,856.66, 16,275.20 and 3,832.47 is: 5,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.66 : 16,275.20 = 3,832.47 : x
  2. Step 2: Convert to fraction form
    10,856.66/16,275.20 = 3,832.47/x
  3. Step 3: Cross multiply
    10,856.66x = 16,275.20 × 3,832.47
  4. Step 4: Simplify right side
    10,856.66x = 62,374,196.58
  5. Step 5: Solve for x
    x = 62,374,196.58/10,856.66
  6. Step 6: Final answer
    x = 5,745.25

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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.