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Finding the Fourth Proportional to 10,896.24, 15,036.08 and 6,419.12

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Solution

The fourth proportional to 10,896.24, 15,036.08 and 6,419.12 is: 8,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.24 : 15,036.08 = 6,419.12 : x
  2. Step 2: Convert to fraction form
    10,896.24/15,036.08 = 6,419.12/x
  3. Step 3: Cross multiply
    10,896.24x = 15,036.08 × 6,419.12
  4. Step 4: Simplify right side
    10,896.24x = 96,518,401.85
  5. Step 5: Solve for x
    x = 96,518,401.85/10,896.24
  6. Step 6: Final answer
    x = 8,857.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.