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Finding the Fourth Proportional to 10,201.52, 15,302.34 and 2,806.76

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Solution

The fourth proportional to 10,201.52, 15,302.34 and 2,806.76 is: 4,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.52 : 15,302.34 = 2,806.76 : x
  2. Step 2: Convert to fraction form
    10,201.52/15,302.34 = 2,806.76/x
  3. Step 3: Cross multiply
    10,201.52x = 15,302.34 × 2,806.76
  4. Step 4: Simplify right side
    10,201.52x = 42,949,995.82
  5. Step 5: Solve for x
    x = 42,949,995.82/10,201.52
  6. Step 6: Final answer
    x = 4,210.16

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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.