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Finding the Fourth Proportional to 7,869.54, 10,865.52 and 5,222.46

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Solution

The fourth proportional to 7,869.54, 10,865.52 and 5,222.46 is: 7,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.54 : 10,865.52 = 5,222.46 : x
  2. Step 2: Convert to fraction form
    7,869.54/10,865.52 = 5,222.46/x
  3. Step 3: Cross multiply
    7,869.54x = 10,865.52 × 5,222.46
  4. Step 4: Simplify right side
    7,869.54x = 56,744,743.58
  5. Step 5: Solve for x
    x = 56,744,743.58/7,869.54
  6. Step 6: Final answer
    x = 7,210.68

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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.