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Finding the Fourth Proportional to 10,332.70, 14,256.78 and 5,855.42

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Solution

The fourth proportional to 10,332.70, 14,256.78 and 5,855.42 is: 8,079.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.70 : 14,256.78 = 5,855.42 : x
  2. Step 2: Convert to fraction form
    10,332.70/14,256.78 = 5,855.42/x
  3. Step 3: Cross multiply
    10,332.70x = 14,256.78 × 5,855.42
  4. Step 4: Simplify right side
    10,332.70x = 83,479,448.43
  5. Step 5: Solve for x
    x = 83,479,448.43/10,332.70
  6. Step 6: Final answer
    x = 8,079.15

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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.