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Finding the Fourth Proportional to 10,202.98, 15,302.31 and 3,275.86

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Solution

The fourth proportional to 10,202.98, 15,302.31 and 3,275.86 is: 4,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.98 : 15,302.31 = 3,275.86 : x
  2. Step 2: Convert to fraction form
    10,202.98/15,302.31 = 3,275.86/x
  3. Step 3: Cross multiply
    10,202.98x = 15,302.31 × 3,275.86
  4. Step 4: Simplify right side
    10,202.98x = 50,128,225.24
  5. Step 5: Solve for x
    x = 50,128,225.24/10,202.98
  6. Step 6: Final answer
    x = 4,913.10

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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.