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Finding the Fourth Proportional to 10,856.88, 16,287.72 and 3,461.52

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Solution

The fourth proportional to 10,856.88, 16,287.72 and 3,461.52 is: 5,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.88 : 16,287.72 = 3,461.52 : x
  2. Step 2: Convert to fraction form
    10,856.88/16,287.72 = 3,461.52/x
  3. Step 3: Cross multiply
    10,856.88x = 16,287.72 × 3,461.52
  4. Step 4: Simplify right side
    10,856.88x = 56,380,268.53
  5. Step 5: Solve for x
    x = 56,380,268.53/10,856.88
  6. Step 6: Final answer
    x = 5,193.05

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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.