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Finding the Fourth Proportional to 7,336.47, 11,009.16 and 3,177.57

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Solution

The fourth proportional to 7,336.47, 11,009.16 and 3,177.57 is: 4,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,336.47 : 11,009.16 = 3,177.57 : x
  2. Step 2: Convert to fraction form
    7,336.47/11,009.16 = 3,177.57/x
  3. Step 3: Cross multiply
    7,336.47x = 11,009.16 × 3,177.57
  4. Step 4: Simplify right side
    7,336.47x = 34,982,376.54
  5. Step 5: Solve for x
    x = 34,982,376.54/7,336.47
  6. Step 6: Final answer
    x = 4,768.28

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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.