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Finding the Fourth Proportional to 7,436.68, 11,133.10 and 6,514.04

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Solution

The fourth proportional to 7,436.68, 11,133.10 and 6,514.04 is: 9,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.68 : 11,133.10 = 6,514.04 : x
  2. Step 2: Convert to fraction form
    7,436.68/11,133.10 = 6,514.04/x
  3. Step 3: Cross multiply
    7,436.68x = 11,133.10 × 6,514.04
  4. Step 4: Simplify right side
    7,436.68x = 72,521,370.49
  5. Step 5: Solve for x
    x = 72,521,370.49/7,436.68
  6. Step 6: Final answer
    x = 9,751.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.