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Finding the Fourth Proportional to 10,254.34, 15,384.21 and 3,234.61

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Solution

The fourth proportional to 10,254.34, 15,384.21 and 3,234.61 is: 4,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.34 : 15,384.21 = 3,234.61 : x
  2. Step 2: Convert to fraction form
    10,254.34/15,384.21 = 3,234.61/x
  3. Step 3: Cross multiply
    10,254.34x = 15,384.21 × 3,234.61
  4. Step 4: Simplify right side
    10,254.34x = 49,761,919.51
  5. Step 5: Solve for x
    x = 49,761,919.51/10,254.34
  6. Step 6: Final answer
    x = 4,852.77

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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.