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Finding the Fourth Proportional to 10,882.79, 16,325.36 and 4,643.46

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Solution

The fourth proportional to 10,882.79, 16,325.36 and 4,643.46 is: 6,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.79 : 16,325.36 = 4,643.46 : x
  2. Step 2: Convert to fraction form
    10,882.79/16,325.36 = 4,643.46/x
  3. Step 3: Cross multiply
    10,882.79x = 16,325.36 × 4,643.46
  4. Step 4: Simplify right side
    10,882.79x = 75,806,132.93
  5. Step 5: Solve for x
    x = 75,806,132.93/10,882.79
  6. Step 6: Final answer
    x = 6,965.69

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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.