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Finding the Fourth Proportional to 10,284.52, 14,194.04 and 6,304.92

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Solution

The fourth proportional to 10,284.52, 14,194.04 and 6,304.92 is: 8,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.52 : 14,194.04 = 6,304.92 : x
  2. Step 2: Convert to fraction form
    10,284.52/14,194.04 = 6,304.92/x
  3. Step 3: Cross multiply
    10,284.52x = 14,194.04 × 6,304.92
  4. Step 4: Simplify right side
    10,284.52x = 89,492,286.68
  5. Step 5: Solve for x
    x = 89,492,286.68/10,284.52
  6. Step 6: Final answer
    x = 8,701.65

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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.