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Finding the Fourth Proportional to 12,785.12, 19,180.52 and 4,994

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Solution

The fourth proportional to 12,785.12, 19,180.52 and 4,994 is: 7,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.12 : 19,180.52 = 4,994 : x
  2. Step 2: Convert to fraction form
    12,785.12/19,180.52 = 4,994/x
  3. Step 3: Cross multiply
    12,785.12x = 19,180.52 × 4,994
  4. Step 4: Simplify right side
    12,785.12x = 95,787,516.88
  5. Step 5: Solve for x
    x = 95,787,516.88/12,785.12
  6. Step 6: Final answer
    x = 7,492.11

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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.