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Finding the Fourth Proportional to 10,214.52, 15,311.45 and 3,970.64

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Solution

The fourth proportional to 10,214.52, 15,311.45 and 3,970.64 is: 5,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.52 : 15,311.45 = 3,970.64 : x
  2. Step 2: Convert to fraction form
    10,214.52/15,311.45 = 3,970.64/x
  3. Step 3: Cross multiply
    10,214.52x = 15,311.45 × 3,970.64
  4. Step 4: Simplify right side
    10,214.52x = 60,796,159.42
  5. Step 5: Solve for x
    x = 60,796,159.42/10,214.52
  6. Step 6: Final answer
    x = 5,951.94

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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.