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Finding the Fourth Proportional to 7,726.51, 11,574.83 and 5,086.07

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Solution

The fourth proportional to 7,726.51, 11,574.83 and 5,086.07 is: 7,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.51 : 11,574.83 = 5,086.07 : x
  2. Step 2: Convert to fraction form
    7,726.51/11,574.83 = 5,086.07/x
  3. Step 3: Cross multiply
    7,726.51x = 11,574.83 × 5,086.07
  4. Step 4: Simplify right side
    7,726.51x = 58,870,393.86
  5. Step 5: Solve for x
    x = 58,870,393.86/7,726.51
  6. Step 6: Final answer
    x = 7,619.27

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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.