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Finding the Fourth Proportional to 8,008.29, 11,995.69 and 6,439.81

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Solution

The fourth proportional to 8,008.29, 11,995.69 and 6,439.81 is: 9,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008.29 : 11,995.69 = 6,439.81 : x
  2. Step 2: Convert to fraction form
    8,008.29/11,995.69 = 6,439.81/x
  3. Step 3: Cross multiply
    8,008.29x = 11,995.69 × 6,439.81
  4. Step 4: Simplify right side
    8,008.29x = 77,249,907.91
  5. Step 5: Solve for x
    x = 77,249,907.91/8,008.29
  6. Step 6: Final answer
    x = 9,646.25

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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.