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Finding the Fourth Proportional to 7,442.71, 11,164.10 and 4,344.38

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Solution

The fourth proportional to 7,442.71, 11,164.10 and 4,344.38 is: 6,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.71 : 11,164.10 = 4,344.38 : x
  2. Step 2: Convert to fraction form
    7,442.71/11,164.10 = 4,344.38/x
  3. Step 3: Cross multiply
    7,442.71x = 11,164.10 × 4,344.38
  4. Step 4: Simplify right side
    7,442.71x = 48,501,156.53
  5. Step 5: Solve for x
    x = 48,501,156.53/7,442.71
  6. Step 6: Final answer
    x = 6,516.60

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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.