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Finding the Fourth Proportional to 11,578.48, 17,353.46 and 6,585.04

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Solution

The fourth proportional to 11,578.48, 17,353.46 and 6,585.04 is: 9,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.48 : 17,353.46 = 6,585.04 : x
  2. Step 2: Convert to fraction form
    11,578.48/17,353.46 = 6,585.04/x
  3. Step 3: Cross multiply
    11,578.48x = 17,353.46 × 6,585.04
  4. Step 4: Simplify right side
    11,578.48x = 114,273,201.32
  5. Step 5: Solve for x
    x = 114,273,201.32/11,578.48
  6. Step 6: Final answer
    x = 9,869.45

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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.