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Finding the Fourth Proportional to 7,702.11, 11,554.99 and 4,003.49

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Solution

The fourth proportional to 7,702.11, 11,554.99 and 4,003.49 is: 6,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.11 : 11,554.99 = 4,003.49 : x
  2. Step 2: Convert to fraction form
    7,702.11/11,554.99 = 4,003.49/x
  3. Step 3: Cross multiply
    7,702.11x = 11,554.99 × 4,003.49
  4. Step 4: Simplify right side
    7,702.11x = 46,260,305.79
  5. Step 5: Solve for x
    x = 46,260,305.79/7,702.11
  6. Step 6: Final answer
    x = 6,006.19

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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.