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Finding the Fourth Proportional to 11,854.70, 17,782.95 and 3,534.06

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Solution

The fourth proportional to 11,854.70, 17,782.95 and 3,534.06 is: 5,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.70 : 17,782.95 = 3,534.06 : x
  2. Step 2: Convert to fraction form
    11,854.70/17,782.95 = 3,534.06/x
  3. Step 3: Cross multiply
    11,854.70x = 17,782.95 × 3,534.06
  4. Step 4: Simplify right side
    11,854.70x = 62,846,012.28
  5. Step 5: Solve for x
    x = 62,846,012.28/11,854.70
  6. Step 6: Final answer
    x = 5,301.36

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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.