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Finding the Fourth Proportional to 10,609.24, 14,640.54 and 5,893.36

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Solution

The fourth proportional to 10,609.24, 14,640.54 and 5,893.36 is: 8,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.24 : 14,640.54 = 5,893.36 : x
  2. Step 2: Convert to fraction form
    10,609.24/14,640.54 = 5,893.36/x
  3. Step 3: Cross multiply
    10,609.24x = 14,640.54 × 5,893.36
  4. Step 4: Simplify right side
    10,609.24x = 86,281,972.81
  5. Step 5: Solve for x
    x = 86,281,972.81/10,609.24
  6. Step 6: Final answer
    x = 8,132.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.