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Finding the Fourth Proportional to 10,882.99, 16,330.64 and 4,642.41

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Solution

The fourth proportional to 10,882.99, 16,330.64 and 4,642.41 is: 6,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.99 : 16,330.64 = 4,642.41 : x
  2. Step 2: Convert to fraction form
    10,882.99/16,330.64 = 4,642.41/x
  3. Step 3: Cross multiply
    10,882.99x = 16,330.64 × 4,642.41
  4. Step 4: Simplify right side
    10,882.99x = 75,813,577.53
  5. Step 5: Solve for x
    x = 75,813,577.53/10,882.99
  6. Step 6: Final answer
    x = 6,966.24

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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.