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Finding the Fourth Proportional to 11,737.36, 16,188.05 and 7,257.95

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Solution

The fourth proportional to 11,737.36, 16,188.05 and 7,257.95 is: 10,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.36 : 16,188.05 = 7,257.95 : x
  2. Step 2: Convert to fraction form
    11,737.36/16,188.05 = 7,257.95/x
  3. Step 3: Cross multiply
    11,737.36x = 16,188.05 × 7,257.95
  4. Step 4: Simplify right side
    11,737.36x = 117,492,146.47
  5. Step 5: Solve for x
    x = 117,492,146.47/11,737.36
  6. Step 6: Final answer
    x = 10,010.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.