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Finding the Fourth Proportional to 11,322.39, 15,625 and 6,849.13

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Solution

The fourth proportional to 11,322.39, 15,625 and 6,849.13 is: 9,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.39 : 15,625 = 6,849.13 : x
  2. Step 2: Convert to fraction form
    11,322.39/15,625 = 6,849.13/x
  3. Step 3: Cross multiply
    11,322.39x = 15,625 × 6,849.13
  4. Step 4: Simplify right side
    11,322.39x = 107,017,656.25
  5. Step 5: Solve for x
    x = 107,017,656.25/11,322.39
  6. Step 6: Final answer
    x = 9,451.86

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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.