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Finding the Fourth Proportional to 7,013.18, 9,677.07 and 4,180.49

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Solution

The fourth proportional to 7,013.18, 9,677.07 and 4,180.49 is: 5,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.18 : 9,677.07 = 4,180.49 : x
  2. Step 2: Convert to fraction form
    7,013.18/9,677.07 = 4,180.49/x
  3. Step 3: Cross multiply
    7,013.18x = 9,677.07 × 4,180.49
  4. Step 4: Simplify right side
    7,013.18x = 40,454,845.98
  5. Step 5: Solve for x
    x = 40,454,845.98/7,013.18
  6. Step 6: Final answer
    x = 5,768.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.