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Finding the Fourth Proportional to 11,807.47, 17,713.12 and 3,488.32

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Solution

The fourth proportional to 11,807.47, 17,713.12 and 3,488.32 is: 5,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.47 : 17,713.12 = 3,488.32 : x
  2. Step 2: Convert to fraction form
    11,807.47/17,713.12 = 3,488.32/x
  3. Step 3: Cross multiply
    11,807.47x = 17,713.12 × 3,488.32
  4. Step 4: Simplify right side
    11,807.47x = 61,789,022.04
  5. Step 5: Solve for x
    x = 61,789,022.04/11,807.47
  6. Step 6: Final answer
    x = 5,233.05

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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.