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Finding the Fourth Proportional to 10,521.94, 14,520.06 and 5,806.18

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Solution

The fourth proportional to 10,521.94, 14,520.06 and 5,806.18 is: 8,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.94 : 14,520.06 = 5,806.18 : x
  2. Step 2: Convert to fraction form
    10,521.94/14,520.06 = 5,806.18/x
  3. Step 3: Cross multiply
    10,521.94x = 14,520.06 × 5,806.18
  4. Step 4: Simplify right side
    10,521.94x = 84,306,081.97
  5. Step 5: Solve for x
    x = 84,306,081.97/10,521.94
  6. Step 6: Final answer
    x = 8,012.41

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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.