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Finding the Fourth Proportional to 11,603.48, 16,000.68 and 6,886.85

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Solution

The fourth proportional to 11,603.48, 16,000.68 and 6,886.85 is: 9,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.48 : 16,000.68 = 6,886.85 : x
  2. Step 2: Convert to fraction form
    11,603.48/16,000.68 = 6,886.85/x
  3. Step 3: Cross multiply
    11,603.48x = 16,000.68 × 6,886.85
  4. Step 4: Simplify right side
    11,603.48x = 110,194,203.05
  5. Step 5: Solve for x
    x = 110,194,203.05/11,603.48
  6. Step 6: Final answer
    x = 9,496.66

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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.