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Finding the Fourth Proportional to 8,406.18, 11,589.68 and 6,888.09

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Solution

The fourth proportional to 8,406.18, 11,589.68 and 6,888.09 is: 9,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.18 : 11,589.68 = 6,888.09 : x
  2. Step 2: Convert to fraction form
    8,406.18/11,589.68 = 6,888.09/x
  3. Step 3: Cross multiply
    8,406.18x = 11,589.68 × 6,888.09
  4. Step 4: Simplify right side
    8,406.18x = 79,830,776.13
  5. Step 5: Solve for x
    x = 79,830,776.13/8,406.18
  6. Step 6: Final answer
    x = 9,496.68

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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.