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Finding the Fourth Proportional to 7,472.12, 11,207.77 and 1,925.73

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Solution

The fourth proportional to 7,472.12, 11,207.77 and 1,925.73 is: 2,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.12 : 11,207.77 = 1,925.73 : x
  2. Step 2: Convert to fraction form
    7,472.12/11,207.77 = 1,925.73/x
  3. Step 3: Cross multiply
    7,472.12x = 11,207.77 × 1,925.73
  4. Step 4: Simplify right side
    7,472.12x = 21,583,134.11
  5. Step 5: Solve for x
    x = 21,583,134.11/7,472.12
  6. Step 6: Final answer
    x = 2,888.49

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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.