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Finding the Fourth Proportional to 11,868.69, 16,363.90 and 7,612.24

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Solution

The fourth proportional to 11,868.69, 16,363.90 and 7,612.24 is: 10,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.69 : 16,363.90 = 7,612.24 : x
  2. Step 2: Convert to fraction form
    11,868.69/16,363.90 = 7,612.24/x
  3. Step 3: Cross multiply
    11,868.69x = 16,363.90 × 7,612.24
  4. Step 4: Simplify right side
    11,868.69x = 124,565,814.26
  5. Step 5: Solve for x
    x = 124,565,814.26/11,868.69
  6. Step 6: Final answer
    x = 10,495.33

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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.