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Finding the Fourth Proportional to 12,702.07, 17,529 and 7,665.34

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Solution

The fourth proportional to 12,702.07, 17,529 and 7,665.34 is: 10,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.07 : 17,529 = 7,665.34 : x
  2. Step 2: Convert to fraction form
    12,702.07/17,529 = 7,665.34/x
  3. Step 3: Cross multiply
    12,702.07x = 17,529 × 7,665.34
  4. Step 4: Simplify right side
    12,702.07x = 134,365,744.86
  5. Step 5: Solve for x
    x = 134,365,744.86/12,702.07
  6. Step 6: Final answer
    x = 10,578.26

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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.