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Finding the Fourth Proportional to 8,041.76, 11,098.24 and 5,060.15

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Solution

The fourth proportional to 8,041.76, 11,098.24 and 5,060.15 is: 6,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.76 : 11,098.24 = 5,060.15 : x
  2. Step 2: Convert to fraction form
    8,041.76/11,098.24 = 5,060.15/x
  3. Step 3: Cross multiply
    8,041.76x = 11,098.24 × 5,060.15
  4. Step 4: Simplify right side
    8,041.76x = 56,158,690.99
  5. Step 5: Solve for x
    x = 56,158,690.99/8,041.76
  6. Step 6: Final answer
    x = 6,983.39

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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.