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Finding the Fourth Proportional to 7,950.78, 11,925.24 and 3,266.34

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Solution

The fourth proportional to 7,950.78, 11,925.24 and 3,266.34 is: 4,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,950.78 : 11,925.24 = 3,266.34 : x
  2. Step 2: Convert to fraction form
    7,950.78/11,925.24 = 3,266.34/x
  3. Step 3: Cross multiply
    7,950.78x = 11,925.24 × 3,266.34
  4. Step 4: Simplify right side
    7,950.78x = 38,951,888.42
  5. Step 5: Solve for x
    x = 38,951,888.42/7,950.78
  6. Step 6: Final answer
    x = 4,899.13

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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.