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Finding the Fourth Proportional to 11,603.88, 16,013.52 and 6,298.92

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Solution

The fourth proportional to 11,603.88, 16,013.52 and 6,298.92 is: 8,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.88 : 16,013.52 = 6,298.92 : x
  2. Step 2: Convert to fraction form
    11,603.88/16,013.52 = 6,298.92/x
  3. Step 3: Cross multiply
    11,603.88x = 16,013.52 × 6,298.92
  4. Step 4: Simplify right side
    11,603.88x = 100,867,881.40
  5. Step 5: Solve for x
    x = 100,867,881.40/11,603.88
  6. Step 6: Final answer
    x = 8,692.60

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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.