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Finding the Fourth Proportional to 7,650.86, 11,476.30 and 4,874.74

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Solution

The fourth proportional to 7,650.86, 11,476.30 and 4,874.74 is: 7,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.86 : 11,476.30 = 4,874.74 : x
  2. Step 2: Convert to fraction form
    7,650.86/11,476.30 = 4,874.74/x
  3. Step 3: Cross multiply
    7,650.86x = 11,476.30 × 4,874.74
  4. Step 4: Simplify right side
    7,650.86x = 55,943,978.66
  5. Step 5: Solve for x
    x = 55,943,978.66/7,650.86
  6. Step 6: Final answer
    x = 7,312.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.