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Finding the Fourth Proportional to 7,065.63, 10,597.95 and 2,135.29

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Solution

The fourth proportional to 7,065.63, 10,597.95 and 2,135.29 is: 3,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.63 : 10,597.95 = 2,135.29 : x
  2. Step 2: Convert to fraction form
    7,065.63/10,597.95 = 2,135.29/x
  3. Step 3: Cross multiply
    7,065.63x = 10,597.95 × 2,135.29
  4. Step 4: Simplify right side
    7,065.63x = 22,629,696.66
  5. Step 5: Solve for x
    x = 22,629,696.66/7,065.63
  6. Step 6: Final answer
    x = 3,202.79

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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.