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Finding the Fourth Proportional to 8,261.04, 11,400.12 and 5,118

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Solution

The fourth proportional to 8,261.04, 11,400.12 and 5,118 is: 7,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.04 : 11,400.12 = 5,118 : x
  2. Step 2: Convert to fraction form
    8,261.04/11,400.12 = 5,118/x
  3. Step 3: Cross multiply
    8,261.04x = 11,400.12 × 5,118
  4. Step 4: Simplify right side
    8,261.04x = 58,345,814.16
  5. Step 5: Solve for x
    x = 58,345,814.16/8,261.04
  6. Step 6: Final answer
    x = 7,062.77

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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.