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Finding the Fourth Proportional to 12,530.46, 18,794.06 and 4,738.26

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Solution

The fourth proportional to 12,530.46, 18,794.06 and 4,738.26 is: 7,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.46 : 18,794.06 = 4,738.26 : x
  2. Step 2: Convert to fraction form
    12,530.46/18,794.06 = 4,738.26/x
  3. Step 3: Cross multiply
    12,530.46x = 18,794.06 × 4,738.26
  4. Step 4: Simplify right side
    12,530.46x = 89,051,142.74
  5. Step 5: Solve for x
    x = 89,051,142.74/12,530.46
  6. Step 6: Final answer
    x = 7,106.77

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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.