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Finding the Fourth Proportional to 11,102.97, 16,666.31 and 4,780.98

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Solution

The fourth proportional to 11,102.97, 16,666.31 and 4,780.98 is: 7,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.97 : 16,666.31 = 4,780.98 : x
  2. Step 2: Convert to fraction form
    11,102.97/16,666.31 = 4,780.98/x
  3. Step 3: Cross multiply
    11,102.97x = 16,666.31 × 4,780.98
  4. Step 4: Simplify right side
    11,102.97x = 79,681,294.78
  5. Step 5: Solve for x
    x = 79,681,294.78/11,102.97
  6. Step 6: Final answer
    x = 7,176.57

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