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Finding the Fourth Proportional to 6,870.91, 10,299.33 and 2,709.23

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Solution

The fourth proportional to 6,870.91, 10,299.33 and 2,709.23 is: 4,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.91 : 10,299.33 = 2,709.23 : x
  2. Step 2: Convert to fraction form
    6,870.91/10,299.33 = 2,709.23/x
  3. Step 3: Cross multiply
    6,870.91x = 10,299.33 × 2,709.23
  4. Step 4: Simplify right side
    6,870.91x = 27,903,252.63
  5. Step 5: Solve for x
    x = 27,903,252.63/6,870.91
  6. Step 6: Final answer
    x = 4,061.07

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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.