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Finding the Fourth Proportional to 10,052.69, 13,863.62 and 6,276.20

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Solution

The fourth proportional to 10,052.69, 13,863.62 and 6,276.20 is: 8,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.69 : 13,863.62 = 6,276.20 : x
  2. Step 2: Convert to fraction form
    10,052.69/13,863.62 = 6,276.20/x
  3. Step 3: Cross multiply
    10,052.69x = 13,863.62 × 6,276.20
  4. Step 4: Simplify right side
    10,052.69x = 87,010,798.22
  5. Step 5: Solve for x
    x = 87,010,798.22/10,052.69
  6. Step 6: Final answer
    x = 8,655.48

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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.