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Finding the Fourth Proportional to 10,896.81, 16,346.13 and 4,323.06

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Solution

The fourth proportional to 10,896.81, 16,346.13 and 4,323.06 is: 6,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.81 : 16,346.13 = 4,323.06 : x
  2. Step 2: Convert to fraction form
    10,896.81/16,346.13 = 4,323.06/x
  3. Step 3: Cross multiply
    10,896.81x = 16,346.13 × 4,323.06
  4. Step 4: Simplify right side
    10,896.81x = 70,665,300.76
  5. Step 5: Solve for x
    x = 70,665,300.76/10,896.81
  6. Step 6: Final answer
    x = 6,484.95

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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.