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Finding the Fourth Proportional to 10,686.26, 14,740.62 and 6,908.12

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Solution

The fourth proportional to 10,686.26, 14,740.62 and 6,908.12 is: 9,529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.26 : 14,740.62 = 6,908.12 : x
  2. Step 2: Convert to fraction form
    10,686.26/14,740.62 = 6,908.12/x
  3. Step 3: Cross multiply
    10,686.26x = 14,740.62 × 6,908.12
  4. Step 4: Simplify right side
    10,686.26x = 101,829,971.83
  5. Step 5: Solve for x
    x = 101,829,971.83/10,686.26
  6. Step 6: Final answer
    x = 9,529.06

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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.