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Finding the Fourth Proportional to 7,186.76, 10,769.12 and 4,838.08

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Solution

The fourth proportional to 7,186.76, 10,769.12 and 4,838.08 is: 7,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.76 : 10,769.12 = 4,838.08 : x
  2. Step 2: Convert to fraction form
    7,186.76/10,769.12 = 4,838.08/x
  3. Step 3: Cross multiply
    7,186.76x = 10,769.12 × 4,838.08
  4. Step 4: Simplify right side
    7,186.76x = 52,101,864.09
  5. Step 5: Solve for x
    x = 52,101,864.09/7,186.76
  6. Step 6: Final answer
    x = 7,249.70

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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.