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Finding the Fourth Proportional to 11,116.65, 16,656.46 and 7,822.82

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Solution

The fourth proportional to 11,116.65, 16,656.46 and 7,822.82 is: 11,721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,116.65 : 16,656.46 = 7,822.82 : x
  2. Step 2: Convert to fraction form
    11,116.65/16,656.46 = 7,822.82/x
  3. Step 3: Cross multiply
    11,116.65x = 16,656.46 × 7,822.82
  4. Step 4: Simplify right side
    11,116.65x = 130,300,488.42
  5. Step 5: Solve for x
    x = 130,300,488.42/11,116.65
  6. Step 6: Final answer
    x = 11,721.20

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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.