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Finding the Fourth Proportional to 7,648.69, 11,477.89 and 3,266.18

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Solution

The fourth proportional to 7,648.69, 11,477.89 and 3,266.18 is: 4,901.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.69 : 11,477.89 = 3,266.18 : x
  2. Step 2: Convert to fraction form
    7,648.69/11,477.89 = 3,266.18/x
  3. Step 3: Cross multiply
    7,648.69x = 11,477.89 × 3,266.18
  4. Step 4: Simplify right side
    7,648.69x = 37,488,854.76
  5. Step 5: Solve for x
    x = 37,488,854.76/7,648.69
  6. Step 6: Final answer
    x = 4,901.34

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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.