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Finding the Fourth Proportional to 11,750.32, 17,625.48 and 6,854.14

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Solution

The fourth proportional to 11,750.32, 17,625.48 and 6,854.14 is: 10,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.32 : 17,625.48 = 6,854.14 : x
  2. Step 2: Convert to fraction form
    11,750.32/17,625.48 = 6,854.14/x
  3. Step 3: Cross multiply
    11,750.32x = 17,625.48 × 6,854.14
  4. Step 4: Simplify right side
    11,750.32x = 120,807,507.49
  5. Step 5: Solve for x
    x = 120,807,507.49/11,750.32
  6. Step 6: Final answer
    x = 10,281.21

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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.