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Finding the Fourth Proportional to 10,825.51, 16,212.32 and 6,862.99

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Solution

The fourth proportional to 10,825.51, 16,212.32 and 6,862.99 is: 10,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.51 : 16,212.32 = 6,862.99 : x
  2. Step 2: Convert to fraction form
    10,825.51/16,212.32 = 6,862.99/x
  3. Step 3: Cross multiply
    10,825.51x = 16,212.32 × 6,862.99
  4. Step 4: Simplify right side
    10,825.51x = 111,264,990.04
  5. Step 5: Solve for x
    x = 111,264,990.04/10,825.51
  6. Step 6: Final answer
    x = 10,278.04

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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.