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Finding the Fourth Proportional to 7,429.46, 11,144.79 and 2,497.77

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Solution

The fourth proportional to 7,429.46, 11,144.79 and 2,497.77 is: 3,746.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.46 : 11,144.79 = 2,497.77 : x
  2. Step 2: Convert to fraction form
    7,429.46/11,144.79 = 2,497.77/x
  3. Step 3: Cross multiply
    7,429.46x = 11,144.79 × 2,497.77
  4. Step 4: Simplify right side
    7,429.46x = 27,837,122.12
  5. Step 5: Solve for x
    x = 27,837,122.12/7,429.46
  6. Step 6: Final answer
    x = 3,746.86

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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.