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Finding the Fourth Proportional to 8,416.20, 11,615.22 and 5,060.10

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Solution

The fourth proportional to 8,416.20, 11,615.22 and 5,060.10 is: 6,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.20 : 11,615.22 = 5,060.10 : x
  2. Step 2: Convert to fraction form
    8,416.20/11,615.22 = 5,060.10/x
  3. Step 3: Cross multiply
    8,416.20x = 11,615.22 × 5,060.10
  4. Step 4: Simplify right side
    8,416.20x = 58,774,174.72
  5. Step 5: Solve for x
    x = 58,774,174.72/8,416.20
  6. Step 6: Final answer
    x = 6,983.46

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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.