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Finding the Fourth Proportional to 10,726.10, 14,801.21 and 6,009.47

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Solution

The fourth proportional to 10,726.10, 14,801.21 and 6,009.47 is: 8,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.10 : 14,801.21 = 6,009.47 : x
  2. Step 2: Convert to fraction form
    10,726.10/14,801.21 = 6,009.47/x
  3. Step 3: Cross multiply
    10,726.10x = 14,801.21 × 6,009.47
  4. Step 4: Simplify right side
    10,726.10x = 88,947,401.45
  5. Step 5: Solve for x
    x = 88,947,401.45/10,726.10
  6. Step 6: Final answer
    x = 8,292.61

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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.