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Finding the Fourth Proportional to 11,646.65, 17,460.45 and 5,398.71

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Solution

The fourth proportional to 11,646.65, 17,460.45 and 5,398.71 is: 8,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.65 : 17,460.45 = 5,398.71 : x
  2. Step 2: Convert to fraction form
    11,646.65/17,460.45 = 5,398.71/x
  3. Step 3: Cross multiply
    11,646.65x = 17,460.45 × 5,398.71
  4. Step 4: Simplify right side
    11,646.65x = 94,263,906.02
  5. Step 5: Solve for x
    x = 94,263,906.02/11,646.65
  6. Step 6: Final answer
    x = 8,093.65

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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.