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Finding the Fourth Proportional to 7,343.66, 11,006.53 and 3,442.86

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Solution

The fourth proportional to 7,343.66, 11,006.53 and 3,442.86 is: 5,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.66 : 11,006.53 = 3,442.86 : x
  2. Step 2: Convert to fraction form
    7,343.66/11,006.53 = 3,442.86/x
  3. Step 3: Cross multiply
    7,343.66x = 11,006.53 × 3,442.86
  4. Step 4: Simplify right side
    7,343.66x = 37,893,941.88
  5. Step 5: Solve for x
    x = 37,893,941.88/7,343.66
  6. Step 6: Final answer
    x = 5,160.09

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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.