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Finding the Fourth Proportional to 10,896.77, 16,329.57 and 6,207.10

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Solution

The fourth proportional to 10,896.77, 16,329.57 and 6,207.10 is: 9,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.77 : 16,329.57 = 6,207.10 : x
  2. Step 2: Convert to fraction form
    10,896.77/16,329.57 = 6,207.10/x
  3. Step 3: Cross multiply
    10,896.77x = 16,329.57 × 6,207.10
  4. Step 4: Simplify right side
    10,896.77x = 101,359,242.91
  5. Step 5: Solve for x
    x = 101,359,242.91/10,896.77
  6. Step 6: Final answer
    x = 9,301.77

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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.