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Finding the Fourth Proportional to 6,242.47, 8,616.04 and 4,118.38

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Solution

The fourth proportional to 6,242.47, 8,616.04 and 4,118.38 is: 5,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.47 : 8,616.04 = 4,118.38 : x
  2. Step 2: Convert to fraction form
    6,242.47/8,616.04 = 4,118.38/x
  3. Step 3: Cross multiply
    6,242.47x = 8,616.04 × 4,118.38
  4. Step 4: Simplify right side
    6,242.47x = 35,484,094.98
  5. Step 5: Solve for x
    x = 35,484,094.98/6,242.47
  6. Step 6: Final answer
    x = 5,684.31

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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.