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Finding the Fourth Proportional to 11,854.80, 17,782.28 and 3,534.60

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Solution

The fourth proportional to 11,854.80, 17,782.28 and 3,534.60 is: 5,301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.80 : 17,782.28 = 3,534.60 : x
  2. Step 2: Convert to fraction form
    11,854.80/17,782.28 = 3,534.60/x
  3. Step 3: Cross multiply
    11,854.80x = 17,782.28 × 3,534.60
  4. Step 4: Simplify right side
    11,854.80x = 62,853,246.89
  5. Step 5: Solve for x
    x = 62,853,246.89/11,854.80
  6. Step 6: Final answer
    x = 5,301.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.