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Finding the Fourth Proportional to 10,685.42, 14,743.20 and 6,655.40

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Solution

The fourth proportional to 10,685.42, 14,743.20 and 6,655.40 is: 9,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.42 : 14,743.20 = 6,655.40 : x
  2. Step 2: Convert to fraction form
    10,685.42/14,743.20 = 6,655.40/x
  3. Step 3: Cross multiply
    10,685.42x = 14,743.20 × 6,655.40
  4. Step 4: Simplify right side
    10,685.42x = 98,121,893.28
  5. Step 5: Solve for x
    x = 98,121,893.28/10,685.42
  6. Step 6: Final answer
    x = 9,182.78

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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.