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Finding the Fourth Proportional to 7,264, 10,025.54 and 4,122

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Solution

The fourth proportional to 7,264, 10,025.54 and 4,122 is: 5,689.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264 : 10,025.54 = 4,122 : x
  2. Step 2: Convert to fraction form
    7,264/10,025.54 = 4,122/x
  3. Step 3: Cross multiply
    7,264x = 10,025.54 × 4,122
  4. Step 4: Simplify right side
    7,264x = 41,325,275.88
  5. Step 5: Solve for x
    x = 41,325,275.88/7,264
  6. Step 6: Final answer
    x = 5,689.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.