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Finding the Fourth Proportional to 8,523.78, 11,762.81 and 4,987.67

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Solution

The fourth proportional to 8,523.78, 11,762.81 and 4,987.67 is: 6,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.78 : 11,762.81 = 4,987.67 : x
  2. Step 2: Convert to fraction form
    8,523.78/11,762.81 = 4,987.67/x
  3. Step 3: Cross multiply
    8,523.78x = 11,762.81 × 4,987.67
  4. Step 4: Simplify right side
    8,523.78x = 58,669,019.02
  5. Step 5: Solve for x
    x = 58,669,019.02/8,523.78
  6. Step 6: Final answer
    x = 6,882.98

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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.