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Finding the Fourth Proportional to 11,977.64, 17,964.04 and 3,210.52

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Solution

The fourth proportional to 11,977.64, 17,964.04 and 3,210.52 is: 4,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977.64 : 17,964.04 = 3,210.52 : x
  2. Step 2: Convert to fraction form
    11,977.64/17,964.04 = 3,210.52/x
  3. Step 3: Cross multiply
    11,977.64x = 17,964.04 × 3,210.52
  4. Step 4: Simplify right side
    11,977.64x = 57,673,909.70
  5. Step 5: Solve for x
    x = 57,673,909.70/11,977.64
  6. Step 6: Final answer
    x = 4,815.13

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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.