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Finding the Fourth Proportional to 11,375.64, 15,698.70 and 6,660.12

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Solution

The fourth proportional to 11,375.64, 15,698.70 and 6,660.12 is: 9,191.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.64 : 15,698.70 = 6,660.12 : x
  2. Step 2: Convert to fraction form
    11,375.64/15,698.70 = 6,660.12/x
  3. Step 3: Cross multiply
    11,375.64x = 15,698.70 × 6,660.12
  4. Step 4: Simplify right side
    11,375.64x = 104,555,225.84
  5. Step 5: Solve for x
    x = 104,555,225.84/11,375.64
  6. Step 6: Final answer
    x = 9,191.15

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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.