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Finding the Fourth Proportional to 7,571.13, 11,356.79 and 2,377

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Solution

The fourth proportional to 7,571.13, 11,356.79 and 2,377 is: 3,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.13 : 11,356.79 = 2,377 : x
  2. Step 2: Convert to fraction form
    7,571.13/11,356.79 = 2,377/x
  3. Step 3: Cross multiply
    7,571.13x = 11,356.79 × 2,377
  4. Step 4: Simplify right side
    7,571.13x = 26,995,089.83
  5. Step 5: Solve for x
    x = 26,995,089.83/7,571.13
  6. Step 6: Final answer
    x = 3,565.53

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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.