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Finding the Fourth Proportional to 7,660.21, 11,488.95 and 2,037.91

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Solution

The fourth proportional to 7,660.21, 11,488.95 and 2,037.91 is: 3,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.21 : 11,488.95 = 2,037.91 : x
  2. Step 2: Convert to fraction form
    7,660.21/11,488.95 = 2,037.91/x
  3. Step 3: Cross multiply
    7,660.21x = 11,488.95 × 2,037.91
  4. Step 4: Simplify right side
    7,660.21x = 23,413,474.82
  5. Step 5: Solve for x
    x = 23,413,474.82/7,660.21
  6. Step 6: Final answer
    x = 3,056.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.