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Finding the Fourth Proportional to 7,886.26, 10,883.06 and 4,349.38

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Solution

The fourth proportional to 7,886.26, 10,883.06 and 4,349.38 is: 6,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.26 : 10,883.06 = 4,349.38 : x
  2. Step 2: Convert to fraction form
    7,886.26/10,883.06 = 4,349.38/x
  3. Step 3: Cross multiply
    7,886.26x = 10,883.06 × 4,349.38
  4. Step 4: Simplify right side
    7,886.26x = 47,334,563.50
  5. Step 5: Solve for x
    x = 47,334,563.50/7,886.26
  6. Step 6: Final answer
    x = 6,002.16

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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.