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Finding the Fourth Proportional to 11,415.66, 15,748.62 and 6,697.80

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Solution

The fourth proportional to 11,415.66, 15,748.62 and 6,697.80 is: 9,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.66 : 15,748.62 = 6,697.80 : x
  2. Step 2: Convert to fraction form
    11,415.66/15,748.62 = 6,697.80/x
  3. Step 3: Cross multiply
    11,415.66x = 15,748.62 × 6,697.80
  4. Step 4: Simplify right side
    11,415.66x = 105,481,107.04
  5. Step 5: Solve for x
    x = 105,481,107.04/11,415.66
  6. Step 6: Final answer
    x = 9,240.04

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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.