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Finding the Fourth Proportional to 10,146.57, 14,002.07 and 6,168.98

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Solution

The fourth proportional to 10,146.57, 14,002.07 and 6,168.98 is: 8,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.57 : 14,002.07 = 6,168.98 : x
  2. Step 2: Convert to fraction form
    10,146.57/14,002.07 = 6,168.98/x
  3. Step 3: Cross multiply
    10,146.57x = 14,002.07 × 6,168.98
  4. Step 4: Simplify right side
    10,146.57x = 86,378,388.93
  5. Step 5: Solve for x
    x = 86,378,388.93/10,146.57
  6. Step 6: Final answer
    x = 8,513.06

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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.