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Finding the Fourth Proportional to 11,562.98, 15,955.11 and 6,782.54

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Solution

The fourth proportional to 11,562.98, 15,955.11 and 6,782.54 is: 9,358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.98 : 15,955.11 = 6,782.54 : x
  2. Step 2: Convert to fraction form
    11,562.98/15,955.11 = 6,782.54/x
  3. Step 3: Cross multiply
    11,562.98x = 15,955.11 × 6,782.54
  4. Step 4: Simplify right side
    11,562.98x = 108,216,092.00
  5. Step 5: Solve for x
    x = 108,216,092.00/11,562.98
  6. Step 6: Final answer
    x = 9,358.85

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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.