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Finding the Fourth Proportional to 7,322.91, 10,109.12 and 4,178.49

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Solution

The fourth proportional to 7,322.91, 10,109.12 and 4,178.49 is: 5,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.91 : 10,109.12 = 4,178.49 : x
  2. Step 2: Convert to fraction form
    7,322.91/10,109.12 = 4,178.49/x
  3. Step 3: Cross multiply
    7,322.91x = 10,109.12 × 4,178.49
  4. Step 4: Simplify right side
    7,322.91x = 42,240,835.94
  5. Step 5: Solve for x
    x = 42,240,835.94/7,322.91
  6. Step 6: Final answer
    x = 5,768.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.