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Finding the Fourth Proportional to 10,616.76, 15,928.56 and 3,222

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Solution

The fourth proportional to 10,616.76, 15,928.56 and 3,222 is: 4,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.76 : 15,928.56 = 3,222 : x
  2. Step 2: Convert to fraction form
    10,616.76/15,928.56 = 3,222/x
  3. Step 3: Cross multiply
    10,616.76x = 15,928.56 × 3,222
  4. Step 4: Simplify right side
    10,616.76x = 51,321,820.32
  5. Step 5: Solve for x
    x = 51,321,820.32/10,616.76
  6. Step 6: Final answer
    x = 4,834.04

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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.