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Finding the Fourth Proportional to 7,439.49, 10,269.02 and 5,206.03

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Solution

The fourth proportional to 7,439.49, 10,269.02 and 5,206.03 is: 7,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439.49 : 10,269.02 = 5,206.03 : x
  2. Step 2: Convert to fraction form
    7,439.49/10,269.02 = 5,206.03/x
  3. Step 3: Cross multiply
    7,439.49x = 10,269.02 × 5,206.03
  4. Step 4: Simplify right side
    7,439.49x = 53,460,813.53
  5. Step 5: Solve for x
    x = 53,460,813.53/7,439.49
  6. Step 6: Final answer
    x = 7,186.09

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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.