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Finding the Fourth Proportional to 10,427.52, 14,377.42 and 8,296.54

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Solution

The fourth proportional to 10,427.52, 14,377.42 and 8,296.54 is: 11,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.52 : 14,377.42 = 8,296.54 : x
  2. Step 2: Convert to fraction form
    10,427.52/14,377.42 = 8,296.54/x
  3. Step 3: Cross multiply
    10,427.52x = 14,377.42 × 8,296.54
  4. Step 4: Simplify right side
    10,427.52x = 119,282,840.13
  5. Step 5: Solve for x
    x = 119,282,840.13/10,427.52
  6. Step 6: Final answer
    x = 11,439.23

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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.