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Finding the Fourth Proportional to 10,200.57, 15,300.45 and 2,804.83

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Solution

The fourth proportional to 10,200.57, 15,300.45 and 2,804.83 is: 4,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.57 : 15,300.45 = 2,804.83 : x
  2. Step 2: Convert to fraction form
    10,200.57/15,300.45 = 2,804.83/x
  3. Step 3: Cross multiply
    10,200.57x = 15,300.45 × 2,804.83
  4. Step 4: Simplify right side
    10,200.57x = 42,915,161.17
  5. Step 5: Solve for x
    x = 42,915,161.17/10,200.57
  6. Step 6: Final answer
    x = 4,207.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.