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Finding the Fourth Proportional to 7,338.47, 11,007.32 and 2,407.46

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Solution

The fourth proportional to 7,338.47, 11,007.32 and 2,407.46 is: 3,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.47 : 11,007.32 = 2,407.46 : x
  2. Step 2: Convert to fraction form
    7,338.47/11,007.32 = 2,407.46/x
  3. Step 3: Cross multiply
    7,338.47x = 11,007.32 × 2,407.46
  4. Step 4: Simplify right side
    7,338.47x = 26,499,615.53
  5. Step 5: Solve for x
    x = 26,499,615.53/7,338.47
  6. Step 6: Final answer
    x = 3,611.06

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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.