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Finding the Fourth Proportional to 11,434.78, 15,778.49 and 7,461.26

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Solution

The fourth proportional to 11,434.78, 15,778.49 and 7,461.26 is: 10,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.78 : 15,778.49 = 7,461.26 : x
  2. Step 2: Convert to fraction form
    11,434.78/15,778.49 = 7,461.26/x
  3. Step 3: Cross multiply
    11,434.78x = 15,778.49 × 7,461.26
  4. Step 4: Simplify right side
    11,434.78x = 117,727,300.10
  5. Step 5: Solve for x
    x = 117,727,300.10/11,434.78
  6. Step 6: Final answer
    x = 10,295.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.