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Finding the Fourth Proportional to 7,077.32, 10,616.00 and 2,147.00

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Solution

The fourth proportional to 7,077.32, 10,616.00 and 2,147.00 is: 3,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.32 : 10,616.00 = 2,147.00 : x
  2. Step 2: Convert to fraction form
    7,077.32/10,616.00 = 2,147.00/x
  3. Step 3: Cross multiply
    7,077.32x = 10,616.00 × 2,147.00
  4. Step 4: Simplify right side
    7,077.32x = 22,792,566.02
  5. Step 5: Solve for x
    x = 22,792,566.02/7,077.32
  6. Step 6: Final answer
    x = 3,220.51

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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.