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Finding the Fourth Proportional to 11,305.06, 15,597.74 and 6,524.64

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Solution

The fourth proportional to 11,305.06, 15,597.74 and 6,524.64 is: 9,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.06 : 15,597.74 = 6,524.64 : x
  2. Step 2: Convert to fraction form
    11,305.06/15,597.74 = 6,524.64/x
  3. Step 3: Cross multiply
    11,305.06x = 15,597.74 × 6,524.64
  4. Step 4: Simplify right side
    11,305.06x = 101,769,654.63
  5. Step 5: Solve for x
    x = 101,769,654.63/11,305.06
  6. Step 6: Final answer
    x = 9,002.14

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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.