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Finding the Fourth Proportional to 8,407.06, 11,601.77 and 5,049.93

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Solution

The fourth proportional to 8,407.06, 11,601.77 and 5,049.93 is: 6,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.06 : 11,601.77 = 5,049.93 : x
  2. Step 2: Convert to fraction form
    8,407.06/11,601.77 = 5,049.93/x
  3. Step 3: Cross multiply
    8,407.06x = 11,601.77 × 5,049.93
  4. Step 4: Simplify right side
    8,407.06x = 58,588,126.38
  5. Step 5: Solve for x
    x = 58,588,126.38/8,407.06
  6. Step 6: Final answer
    x = 6,968.92

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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.