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Finding the Fourth Proportional to 10,203.92, 14,074.33 and 8,315.51

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Solution

The fourth proportional to 10,203.92, 14,074.33 and 8,315.51 is: 11,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.92 : 14,074.33 = 8,315.51 : x
  2. Step 2: Convert to fraction form
    10,203.92/14,074.33 = 8,315.51/x
  3. Step 3: Cross multiply
    10,203.92x = 14,074.33 × 8,315.51
  4. Step 4: Simplify right side
    10,203.92x = 117,035,258.84
  5. Step 5: Solve for x
    x = 117,035,258.84/10,203.92
  6. Step 6: Final answer
    x = 11,469.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.