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Finding the Fourth Proportional to 10,162.46, 15,243.70 and 4,314.98

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Solution

The fourth proportional to 10,162.46, 15,243.70 and 4,314.98 is: 6,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.46 : 15,243.70 = 4,314.98 : x
  2. Step 2: Convert to fraction form
    10,162.46/15,243.70 = 4,314.98/x
  3. Step 3: Cross multiply
    10,162.46x = 15,243.70 × 4,314.98
  4. Step 4: Simplify right side
    10,162.46x = 65,776,260.63
  5. Step 5: Solve for x
    x = 65,776,260.63/10,162.46
  6. Step 6: Final answer
    x = 6,472.47

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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.