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Finding the Fourth Proportional to 7,993, 11,035.07 and 7,106.35

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Solution

The fourth proportional to 7,993, 11,035.07 and 7,106.35 is: 9,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993 : 11,035.07 = 7,106.35 : x
  2. Step 2: Convert to fraction form
    7,993/11,035.07 = 7,106.35/x
  3. Step 3: Cross multiply
    7,993x = 11,035.07 × 7,106.35
  4. Step 4: Simplify right side
    7,993x = 78,419,034.16
  5. Step 5: Solve for x
    x = 78,419,034.16/7,993
  6. Step 6: Final answer
    x = 9,810.96

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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.