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Finding the Fourth Proportional to 7,648.07, 11,411.24 and 6,713.10

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Solution

The fourth proportional to 7,648.07, 11,411.24 and 6,713.10 is: 10,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.07 : 11,411.24 = 6,713.10 : x
  2. Step 2: Convert to fraction form
    7,648.07/11,411.24 = 6,713.10/x
  3. Step 3: Cross multiply
    7,648.07x = 11,411.24 × 6,713.10
  4. Step 4: Simplify right side
    7,648.07x = 76,604,761.68
  5. Step 5: Solve for x
    x = 76,604,761.68/7,648.07
  6. Step 6: Final answer
    x = 10,016.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.