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Finding the Fourth Proportional to 7,902.61, 11,844.06 and 4,394.50

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Solution

The fourth proportional to 7,902.61, 11,844.06 and 4,394.50 is: 6,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.61 : 11,844.06 = 4,394.50 : x
  2. Step 2: Convert to fraction form
    7,902.61/11,844.06 = 4,394.50/x
  3. Step 3: Cross multiply
    7,902.61x = 11,844.06 × 4,394.50
  4. Step 4: Simplify right side
    7,902.61x = 52,048,721.67
  5. Step 5: Solve for x
    x = 52,048,721.67/7,902.61
  6. Step 6: Final answer
    x = 6,586.27

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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.