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Finding the Fourth Proportional to 7,647.69, 10,553.89 and 4,290.58

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Solution

The fourth proportional to 7,647.69, 10,553.89 and 4,290.58 is: 5,921.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.69 : 10,553.89 = 4,290.58 : x
  2. Step 2: Convert to fraction form
    7,647.69/10,553.89 = 4,290.58/x
  3. Step 3: Cross multiply
    7,647.69x = 10,553.89 × 4,290.58
  4. Step 4: Simplify right side
    7,647.69x = 45,282,235.13
  5. Step 5: Solve for x
    x = 45,282,235.13/7,647.69
  6. Step 6: Final answer
    x = 5,921.03

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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.