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Finding the Fourth Proportional to 7,774.12, 11,660.94 and 3,157

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Solution

The fourth proportional to 7,774.12, 11,660.94 and 3,157 is: 4,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.12 : 11,660.94 = 3,157 : x
  2. Step 2: Convert to fraction form
    7,774.12/11,660.94 = 3,157/x
  3. Step 3: Cross multiply
    7,774.12x = 11,660.94 × 3,157
  4. Step 4: Simplify right side
    7,774.12x = 36,813,587.58
  5. Step 5: Solve for x
    x = 36,813,587.58/7,774.12
  6. Step 6: Final answer
    x = 4,735.40

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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.