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Finding the Fourth Proportional to 10,202.64, 15,302.51 and 3,276.24

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Solution

The fourth proportional to 10,202.64, 15,302.51 and 3,276.24 is: 4,913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.64 : 15,302.51 = 3,276.24 : x
  2. Step 2: Convert to fraction form
    10,202.64/15,302.51 = 3,276.24/x
  3. Step 3: Cross multiply
    10,202.64x = 15,302.51 × 3,276.24
  4. Step 4: Simplify right side
    10,202.64x = 50,134,695.36
  5. Step 5: Solve for x
    x = 50,134,695.36/10,202.64
  6. Step 6: Final answer
    x = 4,913.89

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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.