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Finding the Fourth Proportional to 10,200.33, 15,300.32 and 2,804.76

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Solution

The fourth proportional to 10,200.33, 15,300.32 and 2,804.76 is: 4,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.33 : 15,300.32 = 2,804.76 : x
  2. Step 2: Convert to fraction form
    10,200.33/15,300.32 = 2,804.76/x
  3. Step 3: Cross multiply
    10,200.33x = 15,300.32 × 2,804.76
  4. Step 4: Simplify right side
    10,200.33x = 42,913,711.50
  5. Step 5: Solve for x
    x = 42,913,711.50/10,200.33
  6. Step 6: Final answer
    x = 4,207.09

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Why These Related Problems?

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