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Finding the Fourth Proportional to 10,315.58, 14,235.21 and 5,839.29

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Solution

The fourth proportional to 10,315.58, 14,235.21 and 5,839.29 is: 8,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.58 : 14,235.21 = 5,839.29 : x
  2. Step 2: Convert to fraction form
    10,315.58/14,235.21 = 5,839.29/x
  3. Step 3: Cross multiply
    10,315.58x = 14,235.21 × 5,839.29
  4. Step 4: Simplify right side
    10,315.58x = 83,123,519.40
  5. Step 5: Solve for x
    x = 83,123,519.40/10,315.58
  6. Step 6: Final answer
    x = 8,058.06

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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.