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Finding the Fourth Proportional to 10,297.92, 14,206.35 and 6,047.60

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Solution

The fourth proportional to 10,297.92, 14,206.35 and 6,047.60 is: 8,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.92 : 14,206.35 = 6,047.60 : x
  2. Step 2: Convert to fraction form
    10,297.92/14,206.35 = 6,047.60/x
  3. Step 3: Cross multiply
    10,297.92x = 14,206.35 × 6,047.60
  4. Step 4: Simplify right side
    10,297.92x = 85,914,292.02
  5. Step 5: Solve for x
    x = 85,914,292.02/10,297.92
  6. Step 6: Final answer
    x = 8,342.88

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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.