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Finding the Fourth Proportional to 10,770.72, 16,153.36 and 7,641.60

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Solution

The fourth proportional to 10,770.72, 16,153.36 and 7,641.60 is: 11,460.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.72 : 16,153.36 = 7,641.60 : x
  2. Step 2: Convert to fraction form
    10,770.72/16,153.36 = 7,641.60/x
  3. Step 3: Cross multiply
    10,770.72x = 16,153.36 × 7,641.60
  4. Step 4: Simplify right side
    10,770.72x = 123,437,515.78
  5. Step 5: Solve for x
    x = 123,437,515.78/10,770.72
  6. Step 6: Final answer
    x = 11,460.47

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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.