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Finding the Fourth Proportional to 11,801.60, 17,683.20 and 7,411.20

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Solution

The fourth proportional to 11,801.60, 17,683.20 and 7,411.20 is: 11,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.60 : 17,683.20 = 7,411.20 : x
  2. Step 2: Convert to fraction form
    11,801.60/17,683.20 = 7,411.20/x
  3. Step 3: Cross multiply
    11,801.60x = 17,683.20 × 7,411.20
  4. Step 4: Simplify right side
    11,801.60x = 131,053,731.84
  5. Step 5: Solve for x
    x = 131,053,731.84/11,801.60
  6. Step 6: Final answer
    x = 11,104.74

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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.