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Finding the Fourth Proportional to 11,752.32, 17,628.48 and 6,856.14

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Solution

The fourth proportional to 11,752.32, 17,628.48 and 6,856.14 is: 10,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.32 : 17,628.48 = 6,856.14 : x
  2. Step 2: Convert to fraction form
    11,752.32/17,628.48 = 6,856.14/x
  3. Step 3: Cross multiply
    11,752.32x = 17,628.48 × 6,856.14
  4. Step 4: Simplify right side
    11,752.32x = 120,863,326.87
  5. Step 5: Solve for x
    x = 120,863,326.87/11,752.32
  6. Step 6: Final answer
    x = 10,284.21

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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.