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Finding the Fourth Proportional to 12,752.58, 19,121.37 and 6,508.50

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Solution

The fourth proportional to 12,752.58, 19,121.37 and 6,508.50 is: 9,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.58 : 19,121.37 = 6,508.50 : x
  2. Step 2: Convert to fraction form
    12,752.58/19,121.37 = 6,508.50/x
  3. Step 3: Cross multiply
    12,752.58x = 19,121.37 × 6,508.50
  4. Step 4: Simplify right side
    12,752.58x = 124,451,436.65
  5. Step 5: Solve for x
    x = 124,451,436.65/12,752.58
  6. Step 6: Final answer
    x = 9,758.92

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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.