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Finding the Fourth Proportional to 11,750.05, 16,209.48 and 7,033.42

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Solution

The fourth proportional to 11,750.05, 16,209.48 and 7,033.42 is: 9,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.05 : 16,209.48 = 7,033.42 : x
  2. Step 2: Convert to fraction form
    11,750.05/16,209.48 = 7,033.42/x
  3. Step 3: Cross multiply
    11,750.05x = 16,209.48 × 7,033.42
  4. Step 4: Simplify right side
    11,750.05x = 114,008,080.82
  5. Step 5: Solve for x
    x = 114,008,080.82/11,750.05
  6. Step 6: Final answer
    x = 9,702.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.