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Finding the Fourth Proportional to 11,426.68, 15,770.02 and 6,710.92

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Solution

The fourth proportional to 11,426.68, 15,770.02 and 6,710.92 is: 9,261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.68 : 15,770.02 = 6,710.92 : x
  2. Step 2: Convert to fraction form
    11,426.68/15,770.02 = 6,710.92/x
  3. Step 3: Cross multiply
    11,426.68x = 15,770.02 × 6,710.92
  4. Step 4: Simplify right side
    11,426.68x = 105,831,342.62
  5. Step 5: Solve for x
    x = 105,831,342.62/11,426.68
  6. Step 6: Final answer
    x = 9,261.78

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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.