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Finding the Fourth Proportional to 11,970.46, 17,953.26 and 4,574.74

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Solution

The fourth proportional to 11,970.46, 17,953.26 and 4,574.74 is: 6,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.46 : 17,953.26 = 4,574.74 : x
  2. Step 2: Convert to fraction form
    11,970.46/17,953.26 = 4,574.74/x
  3. Step 3: Cross multiply
    11,970.46x = 17,953.26 × 4,574.74
  4. Step 4: Simplify right side
    11,970.46x = 82,131,496.65
  5. Step 5: Solve for x
    x = 82,131,496.65/11,970.46
  6. Step 6: Final answer
    x = 6,861.18

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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.