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Finding the Fourth Proportional to 7,872.30, 11,808.45 and 7,325.55

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Solution

The fourth proportional to 7,872.30, 11,808.45 and 7,325.55 is: 10,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.30 : 11,808.45 = 7,325.55 : x
  2. Step 2: Convert to fraction form
    7,872.30/11,808.45 = 7,325.55/x
  3. Step 3: Cross multiply
    7,872.30x = 11,808.45 × 7,325.55
  4. Step 4: Simplify right side
    7,872.30x = 86,503,390.90
  5. Step 5: Solve for x
    x = 86,503,390.90/7,872.30
  6. Step 6: Final answer
    x = 10,988.33

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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.