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Finding the Fourth Proportional to 11,938.88, 16,483.86 and 7,464.80

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Solution

The fourth proportional to 11,938.88, 16,483.86 and 7,464.80 is: 10,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.88 : 16,483.86 = 7,464.80 : x
  2. Step 2: Convert to fraction form
    11,938.88/16,483.86 = 7,464.80/x
  3. Step 3: Cross multiply
    11,938.88x = 16,483.86 × 7,464.80
  4. Step 4: Simplify right side
    11,938.88x = 123,048,718.13
  5. Step 5: Solve for x
    x = 123,048,718.13/11,938.88
  6. Step 6: Final answer
    x = 10,306.55

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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.