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Finding the Fourth Proportional to 10,339.87, 14,272.08 and 6,092.30

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Solution

The fourth proportional to 10,339.87, 14,272.08 and 6,092.30 is: 8,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.87 : 14,272.08 = 6,092.30 : x
  2. Step 2: Convert to fraction form
    10,339.87/14,272.08 = 6,092.30/x
  3. Step 3: Cross multiply
    10,339.87x = 14,272.08 × 6,092.30
  4. Step 4: Simplify right side
    10,339.87x = 86,949,811.57
  5. Step 5: Solve for x
    x = 86,949,811.57/10,339.87
  6. Step 6: Final answer
    x = 8,409.18

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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.