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Finding the Fourth Proportional to 7,048.66, 9,727.76 and 4,065.48

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Solution

The fourth proportional to 7,048.66, 9,727.76 and 4,065.48 is: 5,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.66 : 9,727.76 = 4,065.48 : x
  2. Step 2: Convert to fraction form
    7,048.66/9,727.76 = 4,065.48/x
  3. Step 3: Cross multiply
    7,048.66x = 9,727.76 × 4,065.48
  4. Step 4: Simplify right side
    7,048.66x = 39,548,013.72
  5. Step 5: Solve for x
    x = 39,548,013.72/7,048.66
  6. Step 6: Final answer
    x = 5,610.71

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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.