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Finding the Fourth Proportional to 10,135.88, 13,968.42 and 8,117

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Solution

The fourth proportional to 10,135.88, 13,968.42 and 8,117 is: 11,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.88 : 13,968.42 = 8,117 : x
  2. Step 2: Convert to fraction form
    10,135.88/13,968.42 = 8,117/x
  3. Step 3: Cross multiply
    10,135.88x = 13,968.42 × 8,117
  4. Step 4: Simplify right side
    10,135.88x = 113,381,665.14
  5. Step 5: Solve for x
    x = 113,381,665.14/10,135.88
  6. Step 6: Final answer
    x = 11,186.17

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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.