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Finding the Fourth Proportional to 8,462.76, 11,680.90 and 5,105.66

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Solution

The fourth proportional to 8,462.76, 11,680.90 and 5,105.66 is: 7,047.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.76 : 11,680.90 = 5,105.66 : x
  2. Step 2: Convert to fraction form
    8,462.76/11,680.90 = 5,105.66/x
  3. Step 3: Cross multiply
    8,462.76x = 11,680.90 × 5,105.66
  4. Step 4: Simplify right side
    8,462.76x = 59,638,703.89
  5. Step 5: Solve for x
    x = 59,638,703.89/8,462.76
  6. Step 6: Final answer
    x = 7,047.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.