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Finding the Fourth Proportional to 7,222.32, 10,823.76 and 5,265.36

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Solution

The fourth proportional to 7,222.32, 10,823.76 and 5,265.36 is: 7,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.32 : 10,823.76 = 5,265.36 : x
  2. Step 2: Convert to fraction form
    7,222.32/10,823.76 = 5,265.36/x
  3. Step 3: Cross multiply
    7,222.32x = 10,823.76 × 5,265.36
  4. Step 4: Simplify right side
    7,222.32x = 56,990,992.95
  5. Step 5: Solve for x
    x = 56,990,992.95/7,222.32
  6. Step 6: Final answer
    x = 7,890.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.