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Finding the Fourth Proportional to 11,403.07, 15,740 and 6,687.25

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Solution

The fourth proportional to 11,403.07, 15,740 and 6,687.25 is: 9,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.07 : 15,740 = 6,687.25 : x
  2. Step 2: Convert to fraction form
    11,403.07/15,740 = 6,687.25/x
  3. Step 3: Cross multiply
    11,403.07x = 15,740 × 6,687.25
  4. Step 4: Simplify right side
    11,403.07x = 105,257,315
  5. Step 5: Solve for x
    x = 105,257,315/11,403.07
  6. Step 6: Final answer
    x = 9,230.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.