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Finding the Fourth Proportional to 11,623.62, 16,044.71 and 6,907.84

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Solution

The fourth proportional to 11,623.62, 16,044.71 and 6,907.84 is: 9,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.62 : 16,044.71 = 6,907.84 : x
  2. Step 2: Convert to fraction form
    11,623.62/16,044.71 = 6,907.84/x
  3. Step 3: Cross multiply
    11,623.62x = 16,044.71 × 6,907.84
  4. Step 4: Simplify right side
    11,623.62x = 110,834,289.53
  5. Step 5: Solve for x
    x = 110,834,289.53/11,623.62
  6. Step 6: Final answer
    x = 9,535.26

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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.