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Finding the Fourth Proportional to 10,222.60, 15,308.46 and 8,378.28

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Solution

The fourth proportional to 10,222.60, 15,308.46 and 8,378.28 is: 12,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.60 : 15,308.46 = 8,378.28 : x
  2. Step 2: Convert to fraction form
    10,222.60/15,308.46 = 8,378.28/x
  3. Step 3: Cross multiply
    10,222.60x = 15,308.46 × 8,378.28
  4. Step 4: Simplify right side
    10,222.60x = 128,258,564.25
  5. Step 5: Solve for x
    x = 128,258,564.25/10,222.60
  6. Step 6: Final answer
    x = 12,546.57

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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.