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Finding the Fourth Proportional to 7,863.06, 10,823.22 and 6,742.92

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Solution

The fourth proportional to 7,863.06, 10,823.22 and 6,742.92 is: 9,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.06 : 10,823.22 = 6,742.92 : x
  2. Step 2: Convert to fraction form
    7,863.06/10,823.22 = 6,742.92/x
  3. Step 3: Cross multiply
    7,863.06x = 10,823.22 × 6,742.92
  4. Step 4: Simplify right side
    7,863.06x = 72,980,106.60
  5. Step 5: Solve for x
    x = 72,980,106.60/7,863.06
  6. Step 6: Final answer
    x = 9,281.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.