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Finding the Fourth Proportional to 10,399.52, 14,351.40 and 5,683.82

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Solution

The fourth proportional to 10,399.52, 14,351.40 and 5,683.82 is: 7,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.52 : 14,351.40 = 5,683.82 : x
  2. Step 2: Convert to fraction form
    10,399.52/14,351.40 = 5,683.82/x
  3. Step 3: Cross multiply
    10,399.52x = 14,351.40 × 5,683.82
  4. Step 4: Simplify right side
    10,399.52x = 81,570,702.59
  5. Step 5: Solve for x
    x = 81,570,702.59/10,399.52
  6. Step 6: Final answer
    x = 7,843.70

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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.