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Finding the Fourth Proportional to 7,970.14, 11,977.08 and 7,517.25

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Solution

The fourth proportional to 7,970.14, 11,977.08 and 7,517.25 is: 11,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.14 : 11,977.08 = 7,517.25 : x
  2. Step 2: Convert to fraction form
    7,970.14/11,977.08 = 7,517.25/x
  3. Step 3: Cross multiply
    7,970.14x = 11,977.08 × 7,517.25
  4. Step 4: Simplify right side
    7,970.14x = 90,034,704.63
  5. Step 5: Solve for x
    x = 90,034,704.63/7,970.14
  6. Step 6: Final answer
    x = 11,296.50

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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.