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Finding the Fourth Proportional to 7,186.06, 9,906.87 and 4,916.98

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Solution

The fourth proportional to 7,186.06, 9,906.87 and 4,916.98 is: 6,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.06 : 9,906.87 = 4,916.98 : x
  2. Step 2: Convert to fraction form
    7,186.06/9,906.87 = 4,916.98/x
  3. Step 3: Cross multiply
    7,186.06x = 9,906.87 × 4,916.98
  4. Step 4: Simplify right side
    7,186.06x = 48,711,881.65
  5. Step 5: Solve for x
    x = 48,711,881.65/7,186.06
  6. Step 6: Final answer
    x = 6,778.66

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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.