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Finding the Fourth Proportional to 10,447.56, 15,671.76 and 2,656.57

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Solution

The fourth proportional to 10,447.56, 15,671.76 and 2,656.57 is: 3,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.56 : 15,671.76 = 2,656.57 : x
  2. Step 2: Convert to fraction form
    10,447.56/15,671.76 = 2,656.57/x
  3. Step 3: Cross multiply
    10,447.56x = 15,671.76 × 2,656.57
  4. Step 4: Simplify right side
    10,447.56x = 41,633,127.46
  5. Step 5: Solve for x
    x = 41,633,127.46/10,447.56
  6. Step 6: Final answer
    x = 3,984.96

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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.