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Finding the Fourth Proportional to 11,559.13, 15,952.01 and 6,523.06

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Solution

The fourth proportional to 11,559.13, 15,952.01 and 6,523.06 is: 9,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559.13 : 15,952.01 = 6,523.06 : x
  2. Step 2: Convert to fraction form
    11,559.13/15,952.01 = 6,523.06/x
  3. Step 3: Cross multiply
    11,559.13x = 15,952.01 × 6,523.06
  4. Step 4: Simplify right side
    11,559.13x = 104,055,845.86
  5. Step 5: Solve for x
    x = 104,055,845.86/11,559.13
  6. Step 6: Final answer
    x = 9,002.05

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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.