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Finding the Fourth Proportional to 7,996.59, 11,967.75 and 7,411.77

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Solution

The fourth proportional to 7,996.59, 11,967.75 and 7,411.77 is: 11,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.59 : 11,967.75 = 7,411.77 : x
  2. Step 2: Convert to fraction form
    7,996.59/11,967.75 = 7,411.77/x
  3. Step 3: Cross multiply
    7,996.59x = 11,967.75 × 7,411.77
  4. Step 4: Simplify right side
    7,996.59x = 88,702,210.42
  5. Step 5: Solve for x
    x = 88,702,210.42/7,996.59
  6. Step 6: Final answer
    x = 11,092.50

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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.