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Finding the Fourth Proportional to 7,270.08, 10,894.56 and 4,497.60

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Solution

The fourth proportional to 7,270.08, 10,894.56 and 4,497.60 is: 6,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.08 : 10,894.56 = 4,497.60 : x
  2. Step 2: Convert to fraction form
    7,270.08/10,894.56 = 4,497.60/x
  3. Step 3: Cross multiply
    7,270.08x = 10,894.56 × 4,497.60
  4. Step 4: Simplify right side
    7,270.08x = 48,999,373.06
  5. Step 5: Solve for x
    x = 48,999,373.06/7,270.08
  6. Step 6: Final answer
    x = 6,739.87

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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.