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Finding the Fourth Proportional to 11,521.67, 15,902.18 and 7,482.86

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Solution

The fourth proportional to 11,521.67, 15,902.18 and 7,482.86 is: 10,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.67 : 15,902.18 = 7,482.86 : x
  2. Step 2: Convert to fraction form
    11,521.67/15,902.18 = 7,482.86/x
  3. Step 3: Cross multiply
    11,521.67x = 15,902.18 × 7,482.86
  4. Step 4: Simplify right side
    11,521.67x = 118,993,725.83
  5. Step 5: Solve for x
    x = 118,993,725.83/11,521.67
  6. Step 6: Final answer
    x = 10,327.82

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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.