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Finding the Fourth Proportional to 7,883.64, 10,879.98 and 4,527

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Solution

The fourth proportional to 7,883.64, 10,879.98 and 4,527 is: 6,247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.64 : 10,879.98 = 4,527 : x
  2. Step 2: Convert to fraction form
    7,883.64/10,879.98 = 4,527/x
  3. Step 3: Cross multiply
    7,883.64x = 10,879.98 × 4,527
  4. Step 4: Simplify right side
    7,883.64x = 49,253,669.46
  5. Step 5: Solve for x
    x = 49,253,669.46/7,883.64
  6. Step 6: Final answer
    x = 6,247.58

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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.