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Finding the Fourth Proportional to 10,862.56, 14,990.28 and 5,894.56

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Solution

The fourth proportional to 10,862.56, 14,990.28 and 5,894.56 is: 8,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.56 : 14,990.28 = 5,894.56 : x
  2. Step 2: Convert to fraction form
    10,862.56/14,990.28 = 5,894.56/x
  3. Step 3: Cross multiply
    10,862.56x = 14,990.28 × 5,894.56
  4. Step 4: Simplify right side
    10,862.56x = 88,361,104.88
  5. Step 5: Solve for x
    x = 88,361,104.88/10,862.56
  6. Step 6: Final answer
    x = 8,134.46

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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.