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Finding the Fourth Proportional to 10,509.41, 15,764.07 and 3,113.92

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Solution

The fourth proportional to 10,509.41, 15,764.07 and 3,113.92 is: 4,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.41 : 15,764.07 = 3,113.92 : x
  2. Step 2: Convert to fraction form
    10,509.41/15,764.07 = 3,113.92/x
  3. Step 3: Cross multiply
    10,509.41x = 15,764.07 × 3,113.92
  4. Step 4: Simplify right side
    10,509.41x = 49,088,052.85
  5. Step 5: Solve for x
    x = 49,088,052.85/10,509.41
  6. Step 6: Final answer
    x = 4,670.87

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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.