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Finding the Fourth Proportional to 10,726.44, 14,801.40 and 6,011.16

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Solution

The fourth proportional to 10,726.44, 14,801.40 and 6,011.16 is: 8,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.44 : 14,801.40 = 6,011.16 : x
  2. Step 2: Convert to fraction form
    10,726.44/14,801.40 = 6,011.16/x
  3. Step 3: Cross multiply
    10,726.44x = 14,801.40 × 6,011.16
  4. Step 4: Simplify right side
    10,726.44x = 88,973,583.62
  5. Step 5: Solve for x
    x = 88,973,583.62/10,726.44
  6. Step 6: Final answer
    x = 8,294.79

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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.