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Finding the Fourth Proportional to 11,920.80, 17,881.20 and 7,485.60

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Solution

The fourth proportional to 11,920.80, 17,881.20 and 7,485.60 is: 11,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.80 : 17,881.20 = 7,485.60 : x
  2. Step 2: Convert to fraction form
    11,920.80/17,881.20 = 7,485.60/x
  3. Step 3: Cross multiply
    11,920.80x = 17,881.20 × 7,485.60
  4. Step 4: Simplify right side
    11,920.80x = 133,851,510.72
  5. Step 5: Solve for x
    x = 133,851,510.72/11,920.80
  6. Step 6: Final answer
    x = 11,228.40

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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.