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Finding the Fourth Proportional to 7,664.48, 10,617 and 7,508.96

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Solution

The fourth proportional to 7,664.48, 10,617 and 7,508.96 is: 10,401.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.48 : 10,617 = 7,508.96 : x
  2. Step 2: Convert to fraction form
    7,664.48/10,617 = 7,508.96/x
  3. Step 3: Cross multiply
    7,664.48x = 10,617 × 7,508.96
  4. Step 4: Simplify right side
    7,664.48x = 79,722,628.32
  5. Step 5: Solve for x
    x = 79,722,628.32/7,664.48
  6. Step 6: Final answer
    x = 10,401.57

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.