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Finding the Fourth Proportional to 11,830.19, 17,748.04 and 3,932.13

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Solution

The fourth proportional to 11,830.19, 17,748.04 and 3,932.13 is: 5,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.19 : 17,748.04 = 3,932.13 : x
  2. Step 2: Convert to fraction form
    11,830.19/17,748.04 = 3,932.13/x
  3. Step 3: Cross multiply
    11,830.19x = 17,748.04 × 3,932.13
  4. Step 4: Simplify right side
    11,830.19x = 69,787,600.53
  5. Step 5: Solve for x
    x = 69,787,600.53/11,830.19
  6. Step 6: Final answer
    x = 5,899.11

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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.