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Finding the Fourth Proportional to 7,444.52, 11,158.94 and 2,509.48

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Solution

The fourth proportional to 7,444.52, 11,158.94 and 2,509.48 is: 3,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.52 : 11,158.94 = 2,509.48 : x
  2. Step 2: Convert to fraction form
    7,444.52/11,158.94 = 2,509.48/x
  3. Step 3: Cross multiply
    7,444.52x = 11,158.94 × 2,509.48
  4. Step 4: Simplify right side
    7,444.52x = 28,003,136.75
  5. Step 5: Solve for x
    x = 28,003,136.75/7,444.52
  6. Step 6: Final answer
    x = 3,761.58

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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.