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Finding the Fourth Proportional to 8,034.35, 12,106.37 and 6,605.51

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Solution

The fourth proportional to 8,034.35, 12,106.37 and 6,605.51 is: 9,953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.35 : 12,106.37 = 6,605.51 : x
  2. Step 2: Convert to fraction form
    8,034.35/12,106.37 = 6,605.51/x
  3. Step 3: Cross multiply
    8,034.35x = 12,106.37 × 6,605.51
  4. Step 4: Simplify right side
    8,034.35x = 79,968,654.54
  5. Step 5: Solve for x
    x = 79,968,654.54/8,034.35
  6. Step 6: Final answer
    x = 9,953.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.