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Finding the Fourth Proportional to 10,462.40, 15,693.60 and 5,278.40

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Solution

The fourth proportional to 10,462.40, 15,693.60 and 5,278.40 is: 7,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.40 : 15,693.60 = 5,278.40 : x
  2. Step 2: Convert to fraction form
    10,462.40/15,693.60 = 5,278.40/x
  3. Step 3: Cross multiply
    10,462.40x = 15,693.60 × 5,278.40
  4. Step 4: Simplify right side
    10,462.40x = 82,837,098.24
  5. Step 5: Solve for x
    x = 82,837,098.24/10,462.40
  6. Step 6: Final answer
    x = 7,917.60

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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.