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Finding the Fourth Proportional to 7,772.46, 11,652.18 and 3,089.52

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Solution

The fourth proportional to 7,772.46, 11,652.18 and 3,089.52 is: 4,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.46 : 11,652.18 = 3,089.52 : x
  2. Step 2: Convert to fraction form
    7,772.46/11,652.18 = 3,089.52/x
  3. Step 3: Cross multiply
    7,772.46x = 11,652.18 × 3,089.52
  4. Step 4: Simplify right side
    7,772.46x = 35,999,643.15
  5. Step 5: Solve for x
    x = 35,999,643.15/7,772.46
  6. Step 6: Final answer
    x = 4,631.69

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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.