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Finding the Fourth Proportional to 11,603.61, 16,013.32 and 6,298.76

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Solution

The fourth proportional to 11,603.61, 16,013.32 and 6,298.76 is: 8,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.61 : 16,013.32 = 6,298.76 : x
  2. Step 2: Convert to fraction form
    11,603.61/16,013.32 = 6,298.76/x
  3. Step 3: Cross multiply
    11,603.61x = 16,013.32 × 6,298.76
  4. Step 4: Simplify right side
    11,603.61x = 100,864,083.77
  5. Step 5: Solve for x
    x = 100,864,083.77/11,603.61
  6. Step 6: Final answer
    x = 8,692.47

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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.