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Finding the Fourth Proportional to 7,985.64, 11,960.14 and 3,828.59

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Solution

The fourth proportional to 7,985.64, 11,960.14 and 3,828.59 is: 5,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,985.64 : 11,960.14 = 3,828.59 : x
  2. Step 2: Convert to fraction form
    7,985.64/11,960.14 = 3,828.59/x
  3. Step 3: Cross multiply
    7,985.64x = 11,960.14 × 3,828.59
  4. Step 4: Simplify right side
    7,985.64x = 45,790,472.40
  5. Step 5: Solve for x
    x = 45,790,472.40/7,985.64
  6. Step 6: Final answer
    x = 5,734.10

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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.