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Finding the Fourth Proportional to 10,447.92, 15,672.36 and 2,656.80

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Solution

The fourth proportional to 10,447.92, 15,672.36 and 2,656.80 is: 3,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.92 : 15,672.36 = 2,656.80 : x
  2. Step 2: Convert to fraction form
    10,447.92/15,672.36 = 2,656.80/x
  3. Step 3: Cross multiply
    10,447.92x = 15,672.36 × 2,656.80
  4. Step 4: Simplify right side
    10,447.92x = 41,638,326.05
  5. Step 5: Solve for x
    x = 41,638,326.05/10,447.92
  6. Step 6: Final answer
    x = 3,985.32

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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.