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Finding the Fourth Proportional to 7,899.90, 11,850.53 and 2,056.50

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Solution

The fourth proportional to 7,899.90, 11,850.53 and 2,056.50 is: 3,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.90 : 11,850.53 = 2,056.50 : x
  2. Step 2: Convert to fraction form
    7,899.90/11,850.53 = 2,056.50/x
  3. Step 3: Cross multiply
    7,899.90x = 11,850.53 × 2,056.50
  4. Step 4: Simplify right side
    7,899.90x = 24,370,604.66
  5. Step 5: Solve for x
    x = 24,370,604.66/7,899.90
  6. Step 6: Final answer
    x = 3,084.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.