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Finding the Fourth Proportional to 8,489.68, 11,726.98 and 7,077.98

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Solution

The fourth proportional to 8,489.68, 11,726.98 and 7,077.98 is: 9,776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.68 : 11,726.98 = 7,077.98 : x
  2. Step 2: Convert to fraction form
    8,489.68/11,726.98 = 7,077.98/x
  3. Step 3: Cross multiply
    8,489.68x = 11,726.98 × 7,077.98
  4. Step 4: Simplify right side
    8,489.68x = 83,003,341.52
  5. Step 5: Solve for x
    x = 83,003,341.52/8,489.68
  6. Step 6: Final answer
    x = 9,776.97

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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.