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Finding the Fourth Proportional to 7,803.69, 10,769.02 and 4,266.91

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Solution

The fourth proportional to 7,803.69, 10,769.02 and 4,266.91 is: 5,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.69 : 10,769.02 = 4,266.91 : x
  2. Step 2: Convert to fraction form
    7,803.69/10,769.02 = 4,266.91/x
  3. Step 3: Cross multiply
    7,803.69x = 10,769.02 × 4,266.91
  4. Step 4: Simplify right side
    7,803.69x = 45,950,439.13
  5. Step 5: Solve for x
    x = 45,950,439.13/7,803.69
  6. Step 6: Final answer
    x = 5,888.30

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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.