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Finding the Fourth Proportional to 10,329.92, 14,256.60 and 5,854.40

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Solution

The fourth proportional to 10,329.92, 14,256.60 and 5,854.40 is: 8,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.92 : 14,256.60 = 5,854.40 : x
  2. Step 2: Convert to fraction form
    10,329.92/14,256.60 = 5,854.40/x
  3. Step 3: Cross multiply
    10,329.92x = 14,256.60 × 5,854.40
  4. Step 4: Simplify right side
    10,329.92x = 83,463,839.04
  5. Step 5: Solve for x
    x = 83,463,839.04/10,329.92
  6. Step 6: Final answer
    x = 8,079.81

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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.