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Finding the Fourth Proportional to 7,698.60, 11,547.09 and 3,315.42

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Solution

The fourth proportional to 7,698.60, 11,547.09 and 3,315.42 is: 4,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.60 : 11,547.09 = 3,315.42 : x
  2. Step 2: Convert to fraction form
    7,698.60/11,547.09 = 3,315.42/x
  3. Step 3: Cross multiply
    7,698.60x = 11,547.09 × 3,315.42
  4. Step 4: Simplify right side
    7,698.60x = 38,283,453.13
  5. Step 5: Solve for x
    x = 38,283,453.13/7,698.60
  6. Step 6: Final answer
    x = 4,972.78

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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.