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Finding the Fourth Proportional to 10,315.01, 14,234.76 and 5,839.63

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Solution

The fourth proportional to 10,315.01, 14,234.76 and 5,839.63 is: 8,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.01 : 14,234.76 = 5,839.63 : x
  2. Step 2: Convert to fraction form
    10,315.01/14,234.76 = 5,839.63/x
  3. Step 3: Cross multiply
    10,315.01x = 14,234.76 × 5,839.63
  4. Step 4: Simplify right side
    10,315.01x = 83,125,695.95
  5. Step 5: Solve for x
    x = 83,125,695.95/10,315.01
  6. Step 6: Final answer
    x = 8,058.71

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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.