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Finding the Fourth Proportional to 10,726.49, 16,087.16 and 3,706.74

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Solution

The fourth proportional to 10,726.49, 16,087.16 and 3,706.74 is: 5,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.49 : 16,087.16 = 3,706.74 : x
  2. Step 2: Convert to fraction form
    10,726.49/16,087.16 = 3,706.74/x
  3. Step 3: Cross multiply
    10,726.49x = 16,087.16 × 3,706.74
  4. Step 4: Simplify right side
    10,726.49x = 59,630,900.92
  5. Step 5: Solve for x
    x = 59,630,900.92/10,726.49
  6. Step 6: Final answer
    x = 5,559.22

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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.