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Finding the Fourth Proportional to 11,530.56, 15,911.94 and 6,426.06

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Solution

The fourth proportional to 11,530.56, 15,911.94 and 6,426.06 is: 8,867.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,530.56 : 15,911.94 = 6,426.06 : x
  2. Step 2: Convert to fraction form
    11,530.56/15,911.94 = 6,426.06/x
  3. Step 3: Cross multiply
    11,530.56x = 15,911.94 × 6,426.06
  4. Step 4: Simplify right side
    11,530.56x = 102,251,081.16
  5. Step 5: Solve for x
    x = 102,251,081.16/11,530.56
  6. Step 6: Final answer
    x = 8,867.83

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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.