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Finding the Fourth Proportional to 10,068.39, 13,892.13 and 6,089.42

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Solution

The fourth proportional to 10,068.39, 13,892.13 and 6,089.42 is: 8,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.39 : 13,892.13 = 6,089.42 : x
  2. Step 2: Convert to fraction form
    10,068.39/13,892.13 = 6,089.42/x
  3. Step 3: Cross multiply
    10,068.39x = 13,892.13 × 6,089.42
  4. Step 4: Simplify right side
    10,068.39x = 84,594,944.80
  5. Step 5: Solve for x
    x = 84,594,944.80/10,068.39
  6. Step 6: Final answer
    x = 8,402.03

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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.