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Finding the Fourth Proportional to 7,446.42, 11,167.47 and 3,746.07

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Solution

The fourth proportional to 7,446.42, 11,167.47 and 3,746.07 is: 5,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.42 : 11,167.47 = 3,746.07 : x
  2. Step 2: Convert to fraction form
    7,446.42/11,167.47 = 3,746.07/x
  3. Step 3: Cross multiply
    7,446.42x = 11,167.47 × 3,746.07
  4. Step 4: Simplify right side
    7,446.42x = 41,834,124.34
  5. Step 5: Solve for x
    x = 41,834,124.34/7,446.42
  6. Step 6: Final answer
    x = 5,618.02

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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.