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Finding the Fourth Proportional to 10,314.74, 14,233.42 and 5,839.59

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Solution

The fourth proportional to 10,314.74, 14,233.42 and 5,839.59 is: 8,058.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.74 : 14,233.42 = 5,839.59 : x
  2. Step 2: Convert to fraction form
    10,314.74/14,233.42 = 5,839.59/x
  3. Step 3: Cross multiply
    10,314.74x = 14,233.42 × 5,839.59
  4. Step 4: Simplify right side
    10,314.74x = 83,117,397.77
  5. Step 5: Solve for x
    x = 83,117,397.77/10,314.74
  6. Step 6: Final answer
    x = 8,058.12

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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.