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Finding the Fourth Proportional to 10,275.32, 14,179.92 and 5,559.60

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Solution

The fourth proportional to 10,275.32, 14,179.92 and 5,559.60 is: 7,672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.32 : 14,179.92 = 5,559.60 : x
  2. Step 2: Convert to fraction form
    10,275.32/14,179.92 = 5,559.60/x
  3. Step 3: Cross multiply
    10,275.32x = 14,179.92 × 5,559.60
  4. Step 4: Simplify right side
    10,275.32x = 78,834,683.23
  5. Step 5: Solve for x
    x = 78,834,683.23/10,275.32
  6. Step 6: Final answer
    x = 7,672.24

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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.