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Finding the Fourth Proportional to 10,651.12, 15,969.76 and 4,409.44

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Solution

The fourth proportional to 10,651.12, 15,969.76 and 4,409.44 is: 6,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.12 : 15,969.76 = 4,409.44 : x
  2. Step 2: Convert to fraction form
    10,651.12/15,969.76 = 4,409.44/x
  3. Step 3: Cross multiply
    10,651.12x = 15,969.76 × 4,409.44
  4. Step 4: Simplify right side
    10,651.12x = 70,417,698.53
  5. Step 5: Solve for x
    x = 70,417,698.53/10,651.12
  6. Step 6: Final answer
    x = 6,611.30

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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.