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Finding the Fourth Proportional to 10,726.80, 14,806.71 and 6,252.36

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Solution

The fourth proportional to 10,726.80, 14,806.71 and 6,252.36 is: 8,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.80 : 14,806.71 = 6,252.36 : x
  2. Step 2: Convert to fraction form
    10,726.80/14,806.71 = 6,252.36/x
  3. Step 3: Cross multiply
    10,726.80x = 14,806.71 × 6,252.36
  4. Step 4: Simplify right side
    10,726.80x = 92,576,881.34
  5. Step 5: Solve for x
    x = 92,576,881.34/10,726.80
  6. Step 6: Final answer
    x = 8,630.43

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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.