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Finding the Fourth Proportional to 7,781.50, 10,738.47 and 4,987

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Solution

The fourth proportional to 7,781.50, 10,738.47 and 4,987 is: 6,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.50 : 10,738.47 = 4,987 : x
  2. Step 2: Convert to fraction form
    7,781.50/10,738.47 = 4,987/x
  3. Step 3: Cross multiply
    7,781.50x = 10,738.47 × 4,987
  4. Step 4: Simplify right side
    7,781.50x = 53,552,749.89
  5. Step 5: Solve for x
    x = 53,552,749.89/7,781.50
  6. Step 6: Final answer
    x = 6,882.06

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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.