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Finding the Fourth Proportional to 11,559.11, 15,952.55 and 6,523.34

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Solution

The fourth proportional to 11,559.11, 15,952.55 and 6,523.34 is: 9,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.11 : 15,952.55 = 6,523.34 : x
  2. Step 2: Convert to fraction form
    11,559.11/15,952.55 = 6,523.34/x
  3. Step 3: Cross multiply
    11,559.11x = 15,952.55 × 6,523.34
  4. Step 4: Simplify right side
    11,559.11x = 104,063,795.14
  5. Step 5: Solve for x
    x = 104,063,795.14/11,559.11
  6. Step 6: Final answer
    x = 9,002.76

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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.