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Finding the Fourth Proportional to 7,424.63, 11,137.01 and 2,230.50

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Solution

The fourth proportional to 7,424.63, 11,137.01 and 2,230.50 is: 3,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.63 : 11,137.01 = 2,230.50 : x
  2. Step 2: Convert to fraction form
    7,424.63/11,137.01 = 2,230.50/x
  3. Step 3: Cross multiply
    7,424.63x = 11,137.01 × 2,230.50
  4. Step 4: Simplify right side
    7,424.63x = 24,841,089.65
  5. Step 5: Solve for x
    x = 24,841,089.65/7,424.63
  6. Step 6: Final answer
    x = 3,345.77

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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.