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Finding the Fourth Proportional to 7,698.26, 11,547.68 and 3,480.71

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Solution

The fourth proportional to 7,698.26, 11,547.68 and 3,480.71 is: 5,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.26 : 11,547.68 = 3,480.71 : x
  2. Step 2: Convert to fraction form
    7,698.26/11,547.68 = 3,480.71/x
  3. Step 3: Cross multiply
    7,698.26x = 11,547.68 × 3,480.71
  4. Step 4: Simplify right side
    7,698.26x = 40,194,134.65
  5. Step 5: Solve for x
    x = 40,194,134.65/7,698.26
  6. Step 6: Final answer
    x = 5,221.20

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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.