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Finding the Fourth Proportional to 10,574.30, 15,862.26 and 2,783

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Solution

The fourth proportional to 10,574.30, 15,862.26 and 2,783 is: 4,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.30 : 15,862.26 = 2,783 : x
  2. Step 2: Convert to fraction form
    10,574.30/15,862.26 = 2,783/x
  3. Step 3: Cross multiply
    10,574.30x = 15,862.26 × 2,783
  4. Step 4: Simplify right side
    10,574.30x = 44,144,669.58
  5. Step 5: Solve for x
    x = 44,144,669.58/10,574.30
  6. Step 6: Final answer
    x = 4,174.71

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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.