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Finding the Fourth Proportional to 7,760.27, 10,718.79 and 5,632.40

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Solution

The fourth proportional to 7,760.27, 10,718.79 and 5,632.40 is: 7,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.27 : 10,718.79 = 5,632.40 : x
  2. Step 2: Convert to fraction form
    7,760.27/10,718.79 = 5,632.40/x
  3. Step 3: Cross multiply
    7,760.27x = 10,718.79 × 5,632.40
  4. Step 4: Simplify right side
    7,760.27x = 60,372,512.80
  5. Step 5: Solve for x
    x = 60,372,512.80/7,760.27
  6. Step 6: Final answer
    x = 7,779.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.