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Finding the Fourth Proportional to 7,647.43, 11,442.16 and 4,529.11

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Solution

The fourth proportional to 7,647.43, 11,442.16 and 4,529.11 is: 6,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.43 : 11,442.16 = 4,529.11 : x
  2. Step 2: Convert to fraction form
    7,647.43/11,442.16 = 4,529.11/x
  3. Step 3: Cross multiply
    7,647.43x = 11,442.16 × 4,529.11
  4. Step 4: Simplify right side
    7,647.43x = 51,822,778.63
  5. Step 5: Solve for x
    x = 51,822,778.63/7,647.43
  6. Step 6: Final answer
    x = 6,776.50

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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.