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Finding the Fourth Proportional to 11,702.30, 17,518.85 and 7,529.99

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Solution

The fourth proportional to 11,702.30, 17,518.85 and 7,529.99 is: 11,272.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.30 : 17,518.85 = 7,529.99 : x
  2. Step 2: Convert to fraction form
    11,702.30/17,518.85 = 7,529.99/x
  3. Step 3: Cross multiply
    11,702.30x = 17,518.85 × 7,529.99
  4. Step 4: Simplify right side
    11,702.30x = 131,916,640.07
  5. Step 5: Solve for x
    x = 131,916,640.07/11,702.30
  6. Step 6: Final answer
    x = 11,272.72

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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.