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Finding the Fourth Proportional to 8,378.04, 11,560.71 and 5,020.38

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Solution

The fourth proportional to 8,378.04, 11,560.71 and 5,020.38 is: 6,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.04 : 11,560.71 = 5,020.38 : x
  2. Step 2: Convert to fraction form
    8,378.04/11,560.71 = 5,020.38/x
  3. Step 3: Cross multiply
    8,378.04x = 11,560.71 × 5,020.38
  4. Step 4: Simplify right side
    8,378.04x = 58,039,157.27
  5. Step 5: Solve for x
    x = 58,039,157.27/8,378.04
  6. Step 6: Final answer
    x = 6,927.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.