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Finding the Fourth Proportional to 11,603.52, 16,012.89 and 6,298.36

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Solution

The fourth proportional to 11,603.52, 16,012.89 and 6,298.36 is: 8,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.52 : 16,012.89 = 6,298.36 : x
  2. Step 2: Convert to fraction form
    11,603.52/16,012.89 = 6,298.36/x
  3. Step 3: Cross multiply
    11,603.52x = 16,012.89 × 6,298.36
  4. Step 4: Simplify right side
    11,603.52x = 100,854,905.83
  5. Step 5: Solve for x
    x = 100,854,905.83/11,603.52
  6. Step 6: Final answer
    x = 8,691.75

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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.