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Finding the Fourth Proportional to 7,638.78, 11,442.50 and 4,509.33

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Solution

The fourth proportional to 7,638.78, 11,442.50 and 4,509.33 is: 6,754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.78 : 11,442.50 = 4,509.33 : x
  2. Step 2: Convert to fraction form
    7,638.78/11,442.50 = 4,509.33/x
  3. Step 3: Cross multiply
    7,638.78x = 11,442.50 × 4,509.33
  4. Step 4: Simplify right side
    7,638.78x = 51,598,008.53
  5. Step 5: Solve for x
    x = 51,598,008.53/7,638.78
  6. Step 6: Final answer
    x = 6,754.74

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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.