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Finding the Fourth Proportional to 10,205.60, 15,286.80 and 5,583.20

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Solution

The fourth proportional to 10,205.60, 15,286.80 and 5,583.20 is: 8,362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.60 : 15,286.80 = 5,583.20 : x
  2. Step 2: Convert to fraction form
    10,205.60/15,286.80 = 5,583.20/x
  3. Step 3: Cross multiply
    10,205.60x = 15,286.80 × 5,583.20
  4. Step 4: Simplify right side
    10,205.60x = 85,349,261.76
  5. Step 5: Solve for x
    x = 85,349,261.76/10,205.60
  6. Step 6: Final answer
    x = 8,362.98

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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.