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Finding the Fourth Proportional to 10,258.20, 15,365.70 and 8,530.20

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Solution

The fourth proportional to 10,258.20, 15,365.70 and 8,530.20 is: 12,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.20 : 15,365.70 = 8,530.20 : x
  2. Step 2: Convert to fraction form
    10,258.20/15,365.70 = 8,530.20/x
  3. Step 3: Cross multiply
    10,258.20x = 15,365.70 × 8,530.20
  4. Step 4: Simplify right side
    10,258.20x = 131,072,494.14
  5. Step 5: Solve for x
    x = 131,072,494.14/10,258.20
  6. Step 6: Final answer
    x = 12,777.34

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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.