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Finding the Fourth Proportional to 10,073.43, 13,907.63 and 6,490.17

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Solution

The fourth proportional to 10,073.43, 13,907.63 and 6,490.17 is: 8,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.43 : 13,907.63 = 6,490.17 : x
  2. Step 2: Convert to fraction form
    10,073.43/13,907.63 = 6,490.17/x
  3. Step 3: Cross multiply
    10,073.43x = 13,907.63 × 6,490.17
  4. Step 4: Simplify right side
    10,073.43x = 90,262,850.55
  5. Step 5: Solve for x
    x = 90,262,850.55/10,073.43
  6. Step 6: Final answer
    x = 8,960.49

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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.