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Finding the Fourth Proportional to 11,153.70, 16,712.78 and 5,888.50

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Solution

The fourth proportional to 11,153.70, 16,712.78 and 5,888.50 is: 8,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.70 : 16,712.78 = 5,888.50 : x
  2. Step 2: Convert to fraction form
    11,153.70/16,712.78 = 5,888.50/x
  3. Step 3: Cross multiply
    11,153.70x = 16,712.78 × 5,888.50
  4. Step 4: Simplify right side
    11,153.70x = 98,413,166.93
  5. Step 5: Solve for x
    x = 98,413,166.93/11,153.70
  6. Step 6: Final answer
    x = 8,823.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.