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Finding the Fourth Proportional to 7,887.38, 10,883.76 and 4,529.54

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Solution

The fourth proportional to 7,887.38, 10,883.76 and 4,529.54 is: 6,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.38 : 10,883.76 = 4,529.54 : x
  2. Step 2: Convert to fraction form
    7,887.38/10,883.76 = 4,529.54/x
  3. Step 3: Cross multiply
    7,887.38x = 10,883.76 × 4,529.54
  4. Step 4: Simplify right side
    7,887.38x = 49,298,426.27
  5. Step 5: Solve for x
    x = 49,298,426.27/7,887.38
  6. Step 6: Final answer
    x = 6,250.29

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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.