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Finding the Fourth Proportional to 10,597.76, 15,896.64 and 3,672.80

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Solution

The fourth proportional to 10,597.76, 15,896.64 and 3,672.80 is: 5,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.76 : 15,896.64 = 3,672.80 : x
  2. Step 2: Convert to fraction form
    10,597.76/15,896.64 = 3,672.80/x
  3. Step 3: Cross multiply
    10,597.76x = 15,896.64 × 3,672.80
  4. Step 4: Simplify right side
    10,597.76x = 58,385,179.39
  5. Step 5: Solve for x
    x = 58,385,179.39/10,597.76
  6. Step 6: Final answer
    x = 5,509.20

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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.