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Finding the Fourth Proportional to 11,116.01, 16,655.52 and 7,823.23

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Solution

The fourth proportional to 11,116.01, 16,655.52 and 7,823.23 is: 11,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,116.01 : 16,655.52 = 7,823.23 : x
  2. Step 2: Convert to fraction form
    11,116.01/16,655.52 = 7,823.23/x
  3. Step 3: Cross multiply
    11,116.01x = 16,655.52 × 7,823.23
  4. Step 4: Simplify right side
    11,116.01x = 130,299,963.73
  5. Step 5: Solve for x
    x = 130,299,963.73/11,116.01
  6. Step 6: Final answer
    x = 11,721.83

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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.