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Finding the Fourth Proportional to 7,065.98, 9,757.60 and 5,294.52

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Solution

The fourth proportional to 7,065.98, 9,757.60 and 5,294.52 is: 7,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.98 : 9,757.60 = 5,294.52 : x
  2. Step 2: Convert to fraction form
    7,065.98/9,757.60 = 5,294.52/x
  3. Step 3: Cross multiply
    7,065.98x = 9,757.60 × 5,294.52
  4. Step 4: Simplify right side
    7,065.98x = 51,661,808.35
  5. Step 5: Solve for x
    x = 51,661,808.35/7,065.98
  6. Step 6: Final answer
    x = 7,311.34

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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.