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Finding the Fourth Proportional to 7,234.92, 10,053.18 and 7,205.76

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Solution

The fourth proportional to 7,234.92, 10,053.18 and 7,205.76 is: 10,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.92 : 10,053.18 = 7,205.76 : x
  2. Step 2: Convert to fraction form
    7,234.92/10,053.18 = 7,205.76/x
  3. Step 3: Cross multiply
    7,234.92x = 10,053.18 × 7,205.76
  4. Step 4: Simplify right side
    7,234.92x = 72,440,802.32
  5. Step 5: Solve for x
    x = 72,440,802.32/7,234.92
  6. Step 6: Final answer
    x = 10,012.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.