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Finding the Fourth Proportional to 10,314.61, 15,469.44 and 4,762.63

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Solution

The fourth proportional to 10,314.61, 15,469.44 and 4,762.63 is: 7,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.61 : 15,469.44 = 4,762.63 : x
  2. Step 2: Convert to fraction form
    10,314.61/15,469.44 = 4,762.63/x
  3. Step 3: Cross multiply
    10,314.61x = 15,469.44 × 4,762.63
  4. Step 4: Simplify right side
    10,314.61x = 73,675,160.28
  5. Step 5: Solve for x
    x = 73,675,160.28/10,314.61
  6. Step 6: Final answer
    x = 7,142.79

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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.