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Finding the Fourth Proportional to 7,150.74, 10,726.59 and 2,471.22

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Solution

The fourth proportional to 7,150.74, 10,726.59 and 2,471.22 is: 3,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.74 : 10,726.59 = 2,471.22 : x
  2. Step 2: Convert to fraction form
    7,150.74/10,726.59 = 2,471.22/x
  3. Step 3: Cross multiply
    7,150.74x = 10,726.59 × 2,471.22
  4. Step 4: Simplify right side
    7,150.74x = 26,507,763.74
  5. Step 5: Solve for x
    x = 26,507,763.74/7,150.74
  6. Step 6: Final answer
    x = 3,707.00

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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.