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Finding the Fourth Proportional to 10,020.87, 13,829.18 and 5,483.85

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Solution

The fourth proportional to 10,020.87, 13,829.18 and 5,483.85 is: 7,567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.87 : 13,829.18 = 5,483.85 : x
  2. Step 2: Convert to fraction form
    10,020.87/13,829.18 = 5,483.85/x
  3. Step 3: Cross multiply
    10,020.87x = 13,829.18 × 5,483.85
  4. Step 4: Simplify right side
    10,020.87x = 75,837,148.74
  5. Step 5: Solve for x
    x = 75,837,148.74/10,020.87
  6. Step 6: Final answer
    x = 7,567.92

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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.