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Finding the Fourth Proportional to 8,292.45, 11,442.25 and 4,755

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Solution

The fourth proportional to 8,292.45, 11,442.25 and 4,755 is: 6,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.45 : 11,442.25 = 4,755 : x
  2. Step 2: Convert to fraction form
    8,292.45/11,442.25 = 4,755/x
  3. Step 3: Cross multiply
    8,292.45x = 11,442.25 × 4,755
  4. Step 4: Simplify right side
    8,292.45x = 54,407,898.75
  5. Step 5: Solve for x
    x = 54,407,898.75/8,292.45
  6. Step 6: Final answer
    x = 6,561.14

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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.