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Finding the Fourth Proportional to 10,329.01, 14,253.99 and 5,853.61

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Solution

The fourth proportional to 10,329.01, 14,253.99 and 5,853.61 is: 8,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.01 : 14,253.99 = 5,853.61 : x
  2. Step 2: Convert to fraction form
    10,329.01/14,253.99 = 5,853.61/x
  3. Step 3: Cross multiply
    10,329.01x = 14,253.99 × 5,853.61
  4. Step 4: Simplify right side
    10,329.01x = 83,437,298.40
  5. Step 5: Solve for x
    x = 83,437,298.40/10,329.01
  6. Step 6: Final answer
    x = 8,077.96

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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.