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Finding the Fourth Proportional to 10,896.40, 16,346.08 and 3,498.40

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Solution

The fourth proportional to 10,896.40, 16,346.08 and 3,498.40 is: 5,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.40 : 16,346.08 = 3,498.40 : x
  2. Step 2: Convert to fraction form
    10,896.40/16,346.08 = 3,498.40/x
  3. Step 3: Cross multiply
    10,896.40x = 16,346.08 × 3,498.40
  4. Step 4: Simplify right side
    10,896.40x = 57,185,126.27
  5. Step 5: Solve for x
    x = 57,185,126.27/10,896.40
  6. Step 6: Final answer
    x = 5,248.08

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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.