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Finding the Fourth Proportional to 7,734.81, 11,601.68 and 2,803.53

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Solution

The fourth proportional to 7,734.81, 11,601.68 and 2,803.53 is: 4,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.81 : 11,601.68 = 2,803.53 : x
  2. Step 2: Convert to fraction form
    7,734.81/11,601.68 = 2,803.53/x
  3. Step 3: Cross multiply
    7,734.81x = 11,601.68 × 2,803.53
  4. Step 4: Simplify right side
    7,734.81x = 32,525,643.91
  5. Step 5: Solve for x
    x = 32,525,643.91/7,734.81
  6. Step 6: Final answer
    x = 4,205.10

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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.