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Finding the Fourth Proportional to 10,447.92, 15,670.53 and 2,656.26

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Solution

The fourth proportional to 10,447.92, 15,670.53 and 2,656.26 is: 3,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.92 : 15,670.53 = 2,656.26 : x
  2. Step 2: Convert to fraction form
    10,447.92/15,670.53 = 2,656.26/x
  3. Step 3: Cross multiply
    10,447.92x = 15,670.53 × 2,656.26
  4. Step 4: Simplify right side
    10,447.92x = 41,625,002.02
  5. Step 5: Solve for x
    x = 41,625,002.02/10,447.92
  6. Step 6: Final answer
    x = 3,984.05

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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.