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Finding the Fourth Proportional to 10,329.53, 14,253.62 and 5,853.20

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Solution

The fourth proportional to 10,329.53, 14,253.62 and 5,853.20 is: 8,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.53 : 14,253.62 = 5,853.20 : x
  2. Step 2: Convert to fraction form
    10,329.53/14,253.62 = 5,853.20/x
  3. Step 3: Cross multiply
    10,329.53x = 14,253.62 × 5,853.20
  4. Step 4: Simplify right side
    10,329.53x = 83,429,188.05
  5. Step 5: Solve for x
    x = 83,429,188.05/10,329.53
  6. Step 6: Final answer
    x = 8,076.77

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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.