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Finding the Fourth Proportional to 11,272.30, 16,918.65 and 6,011.77

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Solution

The fourth proportional to 11,272.30, 16,918.65 and 6,011.77 is: 9,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272.30 : 16,918.65 = 6,011.77 : x
  2. Step 2: Convert to fraction form
    11,272.30/16,918.65 = 6,011.77/x
  3. Step 3: Cross multiply
    11,272.30x = 16,918.65 × 6,011.77
  4. Step 4: Simplify right side
    11,272.30x = 101,711,032.51
  5. Step 5: Solve for x
    x = 101,711,032.51/11,272.30
  6. Step 6: Final answer
    x = 9,023.09

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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.