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Finding the Fourth Proportional to 7,684.97, 10,605.47 and 4,700.75

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Solution

The fourth proportional to 7,684.97, 10,605.47 and 4,700.75 is: 6,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.97 : 10,605.47 = 4,700.75 : x
  2. Step 2: Convert to fraction form
    7,684.97/10,605.47 = 4,700.75/x
  3. Step 3: Cross multiply
    7,684.97x = 10,605.47 × 4,700.75
  4. Step 4: Simplify right side
    7,684.97x = 49,853,586.57
  5. Step 5: Solve for x
    x = 49,853,586.57/7,684.97
  6. Step 6: Final answer
    x = 6,487.16

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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.