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Finding the Fourth Proportional to 6,005.16, 8,992 and 4,240.66

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Solution

The fourth proportional to 6,005.16, 8,992 and 4,240.66 is: 6,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.16 : 8,992 = 4,240.66 : x
  2. Step 2: Convert to fraction form
    6,005.16/8,992 = 4,240.66/x
  3. Step 3: Cross multiply
    6,005.16x = 8,992 × 4,240.66
  4. Step 4: Simplify right side
    6,005.16x = 38,132,014.72
  5. Step 5: Solve for x
    x = 38,132,014.72/6,005.16
  6. Step 6: Final answer
    x = 6,349.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.