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Finding the Fourth Proportional to 10,066.14, 13,898.08 and 6,294.98

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Solution

The fourth proportional to 10,066.14, 13,898.08 and 6,294.98 is: 8,691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.14 : 13,898.08 = 6,294.98 : x
  2. Step 2: Convert to fraction form
    10,066.14/13,898.08 = 6,294.98/x
  3. Step 3: Cross multiply
    10,066.14x = 13,898.08 × 6,294.98
  4. Step 4: Simplify right side
    10,066.14x = 87,488,178.25
  5. Step 5: Solve for x
    x = 87,488,178.25/10,066.14
  6. Step 6: Final answer
    x = 8,691.33

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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.