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Finding the Fourth Proportional to 8,512.90, 11,748.03 and 5,155

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Solution

The fourth proportional to 8,512.90, 11,748.03 and 5,155 is: 7,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.90 : 11,748.03 = 5,155 : x
  2. Step 2: Convert to fraction form
    8,512.90/11,748.03 = 5,155/x
  3. Step 3: Cross multiply
    8,512.90x = 11,748.03 × 5,155
  4. Step 4: Simplify right side
    8,512.90x = 60,561,094.65
  5. Step 5: Solve for x
    x = 60,561,094.65/8,512.90
  6. Step 6: Final answer
    x = 7,114.04

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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.