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Finding the Fourth Proportional to 7,647.90, 10,553.92 and 4,290.63

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Solution

The fourth proportional to 7,647.90, 10,553.92 and 4,290.63 is: 5,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.90 : 10,553.92 = 4,290.63 : x
  2. Step 2: Convert to fraction form
    7,647.90/10,553.92 = 4,290.63/x
  3. Step 3: Cross multiply
    7,647.90x = 10,553.92 × 4,290.63
  4. Step 4: Simplify right side
    7,647.90x = 45,283,021.44
  5. Step 5: Solve for x
    x = 45,283,021.44/7,647.90
  6. Step 6: Final answer
    x = 5,920.98

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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.