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Finding the Fourth Proportional to 7,647.53, 10,553.42 and 4,290.28

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Solution

The fourth proportional to 7,647.53, 10,553.42 and 4,290.28 is: 5,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.53 : 10,553.42 = 4,290.28 : x
  2. Step 2: Convert to fraction form
    7,647.53/10,553.42 = 4,290.28/x
  3. Step 3: Cross multiply
    7,647.53x = 10,553.42 × 4,290.28
  4. Step 4: Simplify right side
    7,647.53x = 45,277,116.89
  5. Step 5: Solve for x
    x = 45,277,116.89/7,647.53
  6. Step 6: Final answer
    x = 5,920.49

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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.