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Finding the Fourth Proportional to 11,938.13, 16,477.02 and 6,902.55

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Solution

The fourth proportional to 11,938.13, 16,477.02 and 6,902.55 is: 9,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.13 : 16,477.02 = 6,902.55 : x
  2. Step 2: Convert to fraction form
    11,938.13/16,477.02 = 6,902.55/x
  3. Step 3: Cross multiply
    11,938.13x = 16,477.02 × 6,902.55
  4. Step 4: Simplify right side
    11,938.13x = 113,733,454.40
  5. Step 5: Solve for x
    x = 113,733,454.40/11,938.13
  6. Step 6: Final answer
    x = 9,526.91

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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.