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Finding the Fourth Proportional to 12,503.64, 18,758.34 and 5,483.64

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Solution

The fourth proportional to 12,503.64, 18,758.34 and 5,483.64 is: 8,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.64 : 18,758.34 = 5,483.64 : x
  2. Step 2: Convert to fraction form
    12,503.64/18,758.34 = 5,483.64/x
  3. Step 3: Cross multiply
    12,503.64x = 18,758.34 × 5,483.64
  4. Step 4: Simplify right side
    12,503.64x = 102,863,983.56
  5. Step 5: Solve for x
    x = 102,863,983.56/12,503.64
  6. Step 6: Final answer
    x = 8,226.72

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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.