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Finding the Fourth Proportional to 7,825.59, 11,753.01 and 6,888.87

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Solution

The fourth proportional to 7,825.59, 11,753.01 and 6,888.87 is: 10,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.59 : 11,753.01 = 6,888.87 : x
  2. Step 2: Convert to fraction form
    7,825.59/11,753.01 = 6,888.87/x
  3. Step 3: Cross multiply
    7,825.59x = 11,753.01 × 6,888.87
  4. Step 4: Simplify right side
    7,825.59x = 80,964,958.00
  5. Step 5: Solve for x
    x = 80,964,958.00/7,825.59
  6. Step 6: Final answer
    x = 10,346.18

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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.