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Finding the Fourth Proportional to 11,234.64, 15,507.42 and 6,518.01

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Solution

The fourth proportional to 11,234.64, 15,507.42 and 6,518.01 is: 8,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.64 : 15,507.42 = 6,518.01 : x
  2. Step 2: Convert to fraction form
    11,234.64/15,507.42 = 6,518.01/x
  3. Step 3: Cross multiply
    11,234.64x = 15,507.42 × 6,518.01
  4. Step 4: Simplify right side
    11,234.64x = 101,077,518.63
  5. Step 5: Solve for x
    x = 101,077,518.63/11,234.64
  6. Step 6: Final answer
    x = 8,996.95

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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.