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Finding the Fourth Proportional to 7,647.90, 11,472.45 and 3,265.39

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Solution

The fourth proportional to 7,647.90, 11,472.45 and 3,265.39 is: 4,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.90 : 11,472.45 = 3,265.39 : x
  2. Step 2: Convert to fraction form
    7,647.90/11,472.45 = 3,265.39/x
  3. Step 3: Cross multiply
    7,647.90x = 11,472.45 × 3,265.39
  4. Step 4: Simplify right side
    7,647.90x = 37,462,023.51
  5. Step 5: Solve for x
    x = 37,462,023.51/7,647.90
  6. Step 6: Final answer
    x = 4,898.34

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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.