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Finding the Fourth Proportional to 7,054.24, 10,607.28 and 6,769.12

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Solution

The fourth proportional to 7,054.24, 10,607.28 and 6,769.12 is: 10,178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.24 : 10,607.28 = 6,769.12 : x
  2. Step 2: Convert to fraction form
    7,054.24/10,607.28 = 6,769.12/x
  3. Step 3: Cross multiply
    7,054.24x = 10,607.28 × 6,769.12
  4. Step 4: Simplify right side
    7,054.24x = 71,801,951.19
  5. Step 5: Solve for x
    x = 71,801,951.19/7,054.24
  6. Step 6: Final answer
    x = 10,178.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.