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Finding the Fourth Proportional to 11,830.92, 17,748.24 and 4,434.36

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Solution

The fourth proportional to 11,830.92, 17,748.24 and 4,434.36 is: 6,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.92 : 17,748.24 = 4,434.36 : x
  2. Step 2: Convert to fraction form
    11,830.92/17,748.24 = 4,434.36/x
  3. Step 3: Cross multiply
    11,830.92x = 17,748.24 × 4,434.36
  4. Step 4: Simplify right side
    11,830.92x = 78,702,085.53
  5. Step 5: Solve for x
    x = 78,702,085.53/11,830.92
  6. Step 6: Final answer
    x = 6,652.24

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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.