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Finding the Fourth Proportional to 7,702.93, 11,554.73 and 4,002.85

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Solution

The fourth proportional to 7,702.93, 11,554.73 and 4,002.85 is: 6,004.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.93 : 11,554.73 = 4,002.85 : x
  2. Step 2: Convert to fraction form
    7,702.93/11,554.73 = 4,002.85/x
  3. Step 3: Cross multiply
    7,702.93x = 11,554.73 × 4,002.85
  4. Step 4: Simplify right side
    7,702.93x = 46,251,773.19
  5. Step 5: Solve for x
    x = 46,251,773.19/7,702.93
  6. Step 6: Final answer
    x = 6,004.44

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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.