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Finding the Fourth Proportional to 11,380.94, 15,695.88 and 7,400.60

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Solution

The fourth proportional to 11,380.94, 15,695.88 and 7,400.60 is: 10,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.94 : 15,695.88 = 7,400.60 : x
  2. Step 2: Convert to fraction form
    11,380.94/15,695.88 = 7,400.60/x
  3. Step 3: Cross multiply
    11,380.94x = 15,695.88 × 7,400.60
  4. Step 4: Simplify right side
    11,380.94x = 116,158,929.53
  5. Step 5: Solve for x
    x = 116,158,929.53/11,380.94
  6. Step 6: Final answer
    x = 10,206.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.