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Finding the Fourth Proportional to 7,178.14, 9,905.64 and 4,034.53

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Solution

The fourth proportional to 7,178.14, 9,905.64 and 4,034.53 is: 5,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.14 : 9,905.64 = 4,034.53 : x
  2. Step 2: Convert to fraction form
    7,178.14/9,905.64 = 4,034.53/x
  3. Step 3: Cross multiply
    7,178.14x = 9,905.64 × 4,034.53
  4. Step 4: Simplify right side
    7,178.14x = 39,964,601.75
  5. Step 5: Solve for x
    x = 39,964,601.75/7,178.14
  6. Step 6: Final answer
    x = 5,567.54

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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.