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Finding the Fourth Proportional to 7,767.27, 10,646.25 and 7,486.72

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Solution

The fourth proportional to 7,767.27, 10,646.25 and 7,486.72 is: 10,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.27 : 10,646.25 = 7,486.72 : x
  2. Step 2: Convert to fraction form
    7,767.27/10,646.25 = 7,486.72/x
  3. Step 3: Cross multiply
    7,767.27x = 10,646.25 × 7,486.72
  4. Step 4: Simplify right side
    7,767.27x = 79,705,433.67
  5. Step 5: Solve for x
    x = 79,705,433.67/7,767.27
  6. Step 6: Final answer
    x = 10,261.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.