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Finding the Fourth Proportional to 7,921.43, 10,909.28 and 7,749.20

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Solution

The fourth proportional to 7,921.43, 10,909.28 and 7,749.20 is: 10,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.43 : 10,909.28 = 7,749.20 : x
  2. Step 2: Convert to fraction form
    7,921.43/10,909.28 = 7,749.20/x
  3. Step 3: Cross multiply
    7,921.43x = 10,909.28 × 7,749.20
  4. Step 4: Simplify right side
    7,921.43x = 84,538,099.28
  5. Step 5: Solve for x
    x = 84,538,099.28/7,921.43
  6. Step 6: Final answer
    x = 10,672.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.