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Finding the Fourth Proportional to 7,962.78, 11,945.40 and 2,415.42

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Solution

The fourth proportional to 7,962.78, 11,945.40 and 2,415.42 is: 3,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.78 : 11,945.40 = 2,415.42 : x
  2. Step 2: Convert to fraction form
    7,962.78/11,945.40 = 2,415.42/x
  3. Step 3: Cross multiply
    7,962.78x = 11,945.40 × 2,415.42
  4. Step 4: Simplify right side
    7,962.78x = 28,853,158.07
  5. Step 5: Solve for x
    x = 28,853,158.07/7,962.78
  6. Step 6: Final answer
    x = 3,623.50

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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.