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Finding the Fourth Proportional to 10,021.47, 13,832.42 and 5,830.53

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Solution

The fourth proportional to 10,021.47, 13,832.42 and 5,830.53 is: 8,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.47 : 13,832.42 = 5,830.53 : x
  2. Step 2: Convert to fraction form
    10,021.47/13,832.42 = 5,830.53/x
  3. Step 3: Cross multiply
    10,021.47x = 13,832.42 × 5,830.53
  4. Step 4: Simplify right side
    10,021.47x = 80,650,310.63
  5. Step 5: Solve for x
    x = 80,650,310.63/10,021.47
  6. Step 6: Final answer
    x = 8,047.75

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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.