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Finding the Fourth Proportional to 11,830.09, 17,752.02 and 4,439.71

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Solution

The fourth proportional to 11,830.09, 17,752.02 and 4,439.71 is: 6,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.09 : 17,752.02 = 4,439.71 : x
  2. Step 2: Convert to fraction form
    11,830.09/17,752.02 = 4,439.71/x
  3. Step 3: Cross multiply
    11,830.09x = 17,752.02 × 4,439.71
  4. Step 4: Simplify right side
    11,830.09x = 78,813,820.71
  5. Step 5: Solve for x
    x = 78,813,820.71/11,830.09
  6. Step 6: Final answer
    x = 6,662.15

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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.