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Finding the Fourth Proportional to 10,024.60, 13,832.76 and 5,832.04

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Solution

The fourth proportional to 10,024.60, 13,832.76 and 5,832.04 is: 8,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.60 : 13,832.76 = 5,832.04 : x
  2. Step 2: Convert to fraction form
    10,024.60/13,832.76 = 5,832.04/x
  3. Step 3: Cross multiply
    10,024.60x = 13,832.76 × 5,832.04
  4. Step 4: Simplify right side
    10,024.60x = 80,673,209.63
  5. Step 5: Solve for x
    x = 80,673,209.63/10,024.60
  6. Step 6: Final answer
    x = 8,047.52

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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.