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Finding the Fourth Proportional to 10,265.49, 14,165.07 and 6,018

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Solution

The fourth proportional to 10,265.49, 14,165.07 and 6,018 is: 8,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.49 : 14,165.07 = 6,018 : x
  2. Step 2: Convert to fraction form
    10,265.49/14,165.07 = 6,018/x
  3. Step 3: Cross multiply
    10,265.49x = 14,165.07 × 6,018
  4. Step 4: Simplify right side
    10,265.49x = 85,245,391.26
  5. Step 5: Solve for x
    x = 85,245,391.26/10,265.49
  6. Step 6: Final answer
    x = 8,304.07

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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.