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Finding the Fourth Proportional to 11,663.56, 17,468.94 and 5,807.08

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Solution

The fourth proportional to 11,663.56, 17,468.94 and 5,807.08 is: 8,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.56 : 17,468.94 = 5,807.08 : x
  2. Step 2: Convert to fraction form
    11,663.56/17,468.94 = 5,807.08/x
  3. Step 3: Cross multiply
    11,663.56x = 17,468.94 × 5,807.08
  4. Step 4: Simplify right side
    11,663.56x = 101,443,532.10
  5. Step 5: Solve for x
    x = 101,443,532.10/11,663.56
  6. Step 6: Final answer
    x = 8,697.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.