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Finding the Fourth Proportional to 11,901.48, 17,854.65 and 4,109.28

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Solution

The fourth proportional to 11,901.48, 17,854.65 and 4,109.28 is: 6,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.48 : 17,854.65 = 4,109.28 : x
  2. Step 2: Convert to fraction form
    11,901.48/17,854.65 = 4,109.28/x
  3. Step 3: Cross multiply
    11,901.48x = 17,854.65 × 4,109.28
  4. Step 4: Simplify right side
    11,901.48x = 73,369,756.15
  5. Step 5: Solve for x
    x = 73,369,756.15/11,901.48
  6. Step 6: Final answer
    x = 6,164.76

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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.