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Finding the Fourth Proportional to 11,533.43, 15,920.06 and 7,171.17

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Solution

The fourth proportional to 11,533.43, 15,920.06 and 7,171.17 is: 9,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.43 : 15,920.06 = 7,171.17 : x
  2. Step 2: Convert to fraction form
    11,533.43/15,920.06 = 7,171.17/x
  3. Step 3: Cross multiply
    11,533.43x = 15,920.06 × 7,171.17
  4. Step 4: Simplify right side
    11,533.43x = 114,165,420.81
  5. Step 5: Solve for x
    x = 114,165,420.81/11,533.43
  6. Step 6: Final answer
    x = 9,898.66

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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.