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Finding the Fourth Proportional to 7,822.71, 10,794.33 and 4,465.35

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Solution

The fourth proportional to 7,822.71, 10,794.33 and 4,465.35 is: 6,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.71 : 10,794.33 = 4,465.35 : x
  2. Step 2: Convert to fraction form
    7,822.71/10,794.33 = 4,465.35/x
  3. Step 3: Cross multiply
    7,822.71x = 10,794.33 × 4,465.35
  4. Step 4: Simplify right side
    7,822.71x = 48,200,461.47
  5. Step 5: Solve for x
    x = 48,200,461.47/7,822.71
  6. Step 6: Final answer
    x = 6,161.61

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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.