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Finding the Fourth Proportional to 7,509.50, 11,264.16 and 2,582.54

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Solution

The fourth proportional to 7,509.50, 11,264.16 and 2,582.54 is: 3,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.50 : 11,264.16 = 2,582.54 : x
  2. Step 2: Convert to fraction form
    7,509.50/11,264.16 = 2,582.54/x
  3. Step 3: Cross multiply
    7,509.50x = 11,264.16 × 2,582.54
  4. Step 4: Simplify right side
    7,509.50x = 29,090,143.77
  5. Step 5: Solve for x
    x = 29,090,143.77/7,509.50
  6. Step 6: Final answer
    x = 3,873.78

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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.