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Finding the Fourth Proportional to 10,726.48, 14,803.41 and 5,947.57

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Solution

The fourth proportional to 10,726.48, 14,803.41 and 5,947.57 is: 8,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.48 : 14,803.41 = 5,947.57 : x
  2. Step 2: Convert to fraction form
    10,726.48/14,803.41 = 5,947.57/x
  3. Step 3: Cross multiply
    10,726.48x = 14,803.41 × 5,947.57
  4. Step 4: Simplify right side
    10,726.48x = 88,044,317.21
  5. Step 5: Solve for x
    x = 88,044,317.21/10,726.48
  6. Step 6: Final answer
    x = 8,208.13

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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.