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Finding the Fourth Proportional to 7,997.65, 11,039.80 and 6,291.74

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Solution

The fourth proportional to 7,997.65, 11,039.80 and 6,291.74 is: 8,685.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.65 : 11,039.80 = 6,291.74 : x
  2. Step 2: Convert to fraction form
    7,997.65/11,039.80 = 6,291.74/x
  3. Step 3: Cross multiply
    7,997.65x = 11,039.80 × 6,291.74
  4. Step 4: Simplify right side
    7,997.65x = 69,459,551.25
  5. Step 5: Solve for x
    x = 69,459,551.25/7,997.65
  6. Step 6: Final answer
    x = 8,685.00

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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.