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Finding the Fourth Proportional to 10,833.65, 16,252.90 and 3,438.35

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Solution

The fourth proportional to 10,833.65, 16,252.90 and 3,438.35 is: 5,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.65 : 16,252.90 = 3,438.35 : x
  2. Step 2: Convert to fraction form
    10,833.65/16,252.90 = 3,438.35/x
  3. Step 3: Cross multiply
    10,833.65x = 16,252.90 × 3,438.35
  4. Step 4: Simplify right side
    10,833.65x = 55,883,060.26
  5. Step 5: Solve for x
    x = 55,883,060.26/10,833.65
  6. Step 6: Final answer
    x = 5,158.29

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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.