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Finding the Fourth Proportional to 10,597.28, 15,896.68 and 2,806

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Solution

The fourth proportional to 10,597.28, 15,896.68 and 2,806 is: 4,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.28 : 15,896.68 = 2,806 : x
  2. Step 2: Convert to fraction form
    10,597.28/15,896.68 = 2,806/x
  3. Step 3: Cross multiply
    10,597.28x = 15,896.68 × 2,806
  4. Step 4: Simplify right side
    10,597.28x = 44,606,084.08
  5. Step 5: Solve for x
    x = 44,606,084.08/10,597.28
  6. Step 6: Final answer
    x = 4,209.20

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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.