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Finding the Fourth Proportional to 11,491.29, 15,858.14 and 6,775.57

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Solution

The fourth proportional to 11,491.29, 15,858.14 and 6,775.57 is: 9,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.29 : 15,858.14 = 6,775.57 : x
  2. Step 2: Convert to fraction form
    11,491.29/15,858.14 = 6,775.57/x
  3. Step 3: Cross multiply
    11,491.29x = 15,858.14 × 6,775.57
  4. Step 4: Simplify right side
    11,491.29x = 107,447,937.64
  5. Step 5: Solve for x
    x = 107,447,937.64/11,491.29
  6. Step 6: Final answer
    x = 9,350.38

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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.