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Finding the Fourth Proportional to 10,735.92, 14,815.53 and 6,020.19

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Solution

The fourth proportional to 10,735.92, 14,815.53 and 6,020.19 is: 8,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.92 : 14,815.53 = 6,020.19 : x
  2. Step 2: Convert to fraction form
    10,735.92/14,815.53 = 6,020.19/x
  3. Step 3: Cross multiply
    10,735.92x = 14,815.53 × 6,020.19
  4. Step 4: Simplify right side
    10,735.92x = 89,192,305.55
  5. Step 5: Solve for x
    x = 89,192,305.55/10,735.92
  6. Step 6: Final answer
    x = 8,307.84

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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.