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Finding the Fourth Proportional to 8,189.81, 11,290.49 and 6,925.79

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Solution

The fourth proportional to 8,189.81, 11,290.49 and 6,925.79 is: 9,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.81 : 11,290.49 = 6,925.79 : x
  2. Step 2: Convert to fraction form
    8,189.81/11,290.49 = 6,925.79/x
  3. Step 3: Cross multiply
    8,189.81x = 11,290.49 × 6,925.79
  4. Step 4: Simplify right side
    8,189.81x = 78,195,562.74
  5. Step 5: Solve for x
    x = 78,195,562.74/8,189.81
  6. Step 6: Final answer
    x = 9,547.91

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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.