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Finding the Fourth Proportional to 10,473.25, 15,709.88 and 2,682.07

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Solution

The fourth proportional to 10,473.25, 15,709.88 and 2,682.07 is: 4,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.25 : 15,709.88 = 2,682.07 : x
  2. Step 2: Convert to fraction form
    10,473.25/15,709.88 = 2,682.07/x
  3. Step 3: Cross multiply
    10,473.25x = 15,709.88 × 2,682.07
  4. Step 4: Simplify right side
    10,473.25x = 42,134,905.89
  5. Step 5: Solve for x
    x = 42,134,905.89/10,473.25
  6. Step 6: Final answer
    x = 4,023.10

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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.