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Finding the Fourth Proportional to 7,486.54, 11,223.72 and 2,803.92

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Solution

The fourth proportional to 7,486.54, 11,223.72 and 2,803.92 is: 4,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.54 : 11,223.72 = 2,803.92 : x
  2. Step 2: Convert to fraction form
    7,486.54/11,223.72 = 2,803.92/x
  3. Step 3: Cross multiply
    7,486.54x = 11,223.72 × 2,803.92
  4. Step 4: Simplify right side
    7,486.54x = 31,470,398.96
  5. Step 5: Solve for x
    x = 31,470,398.96/7,486.54
  6. Step 6: Final answer
    x = 4,203.60

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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.