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Finding the Fourth Proportional to 7,252, 10,008.16 and 4,108.48

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Solution

The fourth proportional to 7,252, 10,008.16 and 4,108.48 is: 5,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252 : 10,008.16 = 4,108.48 : x
  2. Step 2: Convert to fraction form
    7,252/10,008.16 = 4,108.48/x
  3. Step 3: Cross multiply
    7,252x = 10,008.16 × 4,108.48
  4. Step 4: Simplify right side
    7,252x = 41,118,325.20
  5. Step 5: Solve for x
    x = 41,118,325.20/7,252
  6. Step 6: Final answer
    x = 5,669.93

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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.