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Finding the Fourth Proportional to 7,886.39, 10,883.16 and 4,349.52

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Solution

The fourth proportional to 7,886.39, 10,883.16 and 4,349.52 is: 6,002.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.39 : 10,883.16 = 4,349.52 : x
  2. Step 2: Convert to fraction form
    7,886.39/10,883.16 = 4,349.52/x
  3. Step 3: Cross multiply
    7,886.39x = 10,883.16 × 4,349.52
  4. Step 4: Simplify right side
    7,886.39x = 47,336,522.08
  5. Step 5: Solve for x
    x = 47,336,522.08/7,886.39
  6. Step 6: Final answer
    x = 6,002.31

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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.