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Finding the Fourth Proportional to 11,682.51, 16,117.71 and 6,901.43

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Solution

The fourth proportional to 11,682.51, 16,117.71 and 6,901.43 is: 9,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.51 : 16,117.71 = 6,901.43 : x
  2. Step 2: Convert to fraction form
    11,682.51/16,117.71 = 6,901.43/x
  3. Step 3: Cross multiply
    11,682.51x = 16,117.71 × 6,901.43
  4. Step 4: Simplify right side
    11,682.51x = 111,235,166.74
  5. Step 5: Solve for x
    x = 111,235,166.74/11,682.51
  6. Step 6: Final answer
    x = 9,521.51

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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.