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Finding the Fourth Proportional to 10,052.84, 13,863.83 and 6,276.35

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Solution

The fourth proportional to 10,052.84, 13,863.83 and 6,276.35 is: 8,655.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.84 : 13,863.83 = 6,276.35 : x
  2. Step 2: Convert to fraction form
    10,052.84/13,863.83 = 6,276.35/x
  3. Step 3: Cross multiply
    10,052.84x = 13,863.83 × 6,276.35
  4. Step 4: Simplify right side
    10,052.84x = 87,014,230.45
  5. Step 5: Solve for x
    x = 87,014,230.45/10,052.84
  6. Step 6: Final answer
    x = 8,655.69

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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.