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Finding the Fourth Proportional to 10,717.25, 14,794.93 and 7,138.17

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Solution

The fourth proportional to 10,717.25, 14,794.93 and 7,138.17 is: 9,854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.25 : 14,794.93 = 7,138.17 : x
  2. Step 2: Convert to fraction form
    10,717.25/14,794.93 = 7,138.17/x
  3. Step 3: Cross multiply
    10,717.25x = 14,794.93 × 7,138.17
  4. Step 4: Simplify right side
    10,717.25x = 105,608,651.50
  5. Step 5: Solve for x
    x = 105,608,651.50/10,717.25
  6. Step 6: Final answer
    x = 9,854.08

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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.