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Finding the Fourth Proportional to 11,901.12, 17,851.86 and 4,509.06

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Solution

The fourth proportional to 11,901.12, 17,851.86 and 4,509.06 is: 6,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.12 : 17,851.86 = 4,509.06 : x
  2. Step 2: Convert to fraction form
    11,901.12/17,851.86 = 4,509.06/x
  3. Step 3: Cross multiply
    11,901.12x = 17,851.86 × 4,509.06
  4. Step 4: Simplify right side
    11,901.12x = 80,495,107.85
  5. Step 5: Solve for x
    x = 80,495,107.85/11,901.12
  6. Step 6: Final answer
    x = 6,763.66

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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.