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Finding the Fourth Proportional to 7,644.61, 11,468.06 and 2,713.83

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Solution

The fourth proportional to 7,644.61, 11,468.06 and 2,713.83 is: 4,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.61 : 11,468.06 = 2,713.83 : x
  2. Step 2: Convert to fraction form
    7,644.61/11,468.06 = 2,713.83/x
  3. Step 3: Cross multiply
    7,644.61x = 11,468.06 × 2,713.83
  4. Step 4: Simplify right side
    7,644.61x = 31,122,394.71
  5. Step 5: Solve for x
    x = 31,122,394.71/7,644.61
  6. Step 6: Final answer
    x = 4,071.16

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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.