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Finding the Fourth Proportional to 10,329.48, 14,255.10 and 5,853.44

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Solution

The fourth proportional to 10,329.48, 14,255.10 and 5,853.44 is: 8,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.48 : 14,255.10 = 5,853.44 : x
  2. Step 2: Convert to fraction form
    10,329.48/14,255.10 = 5,853.44/x
  3. Step 3: Cross multiply
    10,329.48x = 14,255.10 × 5,853.44
  4. Step 4: Simplify right side
    10,329.48x = 83,441,372.54
  5. Step 5: Solve for x
    x = 83,441,372.54/10,329.48
  6. Step 6: Final answer
    x = 8,077.98

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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.