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Finding the Fourth Proportional to 7,707.25, 10,635.49 and 4,350.20

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Solution

The fourth proportional to 7,707.25, 10,635.49 and 4,350.20 is: 6,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.25 : 10,635.49 = 4,350.20 : x
  2. Step 2: Convert to fraction form
    7,707.25/10,635.49 = 4,350.20/x
  3. Step 3: Cross multiply
    7,707.25x = 10,635.49 × 4,350.20
  4. Step 4: Simplify right side
    7,707.25x = 46,266,486.85
  5. Step 5: Solve for x
    x = 46,266,486.85/7,707.25
  6. Step 6: Final answer
    x = 6,002.99

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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.