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Finding the Fourth Proportional to 10,199.76, 15,258.74 and 8,828.03

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Solution

The fourth proportional to 10,199.76, 15,258.74 and 8,828.03 is: 13,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.76 : 15,258.74 = 8,828.03 : x
  2. Step 2: Convert to fraction form
    10,199.76/15,258.74 = 8,828.03/x
  3. Step 3: Cross multiply
    10,199.76x = 15,258.74 × 8,828.03
  4. Step 4: Simplify right side
    10,199.76x = 134,704,494.05
  5. Step 5: Solve for x
    x = 134,704,494.05/10,199.76
  6. Step 6: Final answer
    x = 13,206.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.