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Finding the Fourth Proportional to 10,422.90, 15,635.16 and 3,027.47

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Solution

The fourth proportional to 10,422.90, 15,635.16 and 3,027.47 is: 4,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.90 : 15,635.16 = 3,027.47 : x
  2. Step 2: Convert to fraction form
    10,422.90/15,635.16 = 3,027.47/x
  3. Step 3: Cross multiply
    10,422.90x = 15,635.16 × 3,027.47
  4. Step 4: Simplify right side
    10,422.90x = 47,334,899.67
  5. Step 5: Solve for x
    x = 47,334,899.67/10,422.90
  6. Step 6: Final answer
    x = 4,541.43

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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.