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Finding the Fourth Proportional to 10,475.60, 15,713.38 and 2,684.40

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Solution

The fourth proportional to 10,475.60, 15,713.38 and 2,684.40 is: 4,026.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.60 : 15,713.38 = 2,684.40 : x
  2. Step 2: Convert to fraction form
    10,475.60/15,713.38 = 2,684.40/x
  3. Step 3: Cross multiply
    10,475.60x = 15,713.38 × 2,684.40
  4. Step 4: Simplify right side
    10,475.60x = 42,180,997.27
  5. Step 5: Solve for x
    x = 42,180,997.27/10,475.60
  6. Step 6: Final answer
    x = 4,026.59

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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.