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Finding the Fourth Proportional to 11,162.98, 15,403.84 and 6,686.65

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Solution

The fourth proportional to 11,162.98, 15,403.84 and 6,686.65 is: 9,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.98 : 15,403.84 = 6,686.65 : x
  2. Step 2: Convert to fraction form
    11,162.98/15,403.84 = 6,686.65/x
  3. Step 3: Cross multiply
    11,162.98x = 15,403.84 × 6,686.65
  4. Step 4: Simplify right side
    11,162.98x = 103,000,086.74
  5. Step 5: Solve for x
    x = 103,000,086.74/11,162.98
  6. Step 6: Final answer
    x = 9,226.93

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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.