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Finding the Fourth Proportional to 7,234.61, 10,852.79 and 2,553.66

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Solution

The fourth proportional to 7,234.61, 10,852.79 and 2,553.66 is: 3,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.61 : 10,852.79 = 2,553.66 : x
  2. Step 2: Convert to fraction form
    7,234.61/10,852.79 = 2,553.66/x
  3. Step 3: Cross multiply
    7,234.61x = 10,852.79 × 2,553.66
  4. Step 4: Simplify right side
    7,234.61x = 27,714,335.71
  5. Step 5: Solve for x
    x = 27,714,335.71/7,234.61
  6. Step 6: Final answer
    x = 3,830.80

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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.