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Finding the Fourth Proportional to 8,396, 11,586.88 and 4,670

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Solution

The fourth proportional to 8,396, 11,586.88 and 4,670 is: 6,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396 : 11,586.88 = 4,670 : x
  2. Step 2: Convert to fraction form
    8,396/11,586.88 = 4,670/x
  3. Step 3: Cross multiply
    8,396x = 11,586.88 × 4,670
  4. Step 4: Simplify right side
    8,396x = 54,110,729.60
  5. Step 5: Solve for x
    x = 54,110,729.60/8,396
  6. Step 6: Final answer
    x = 6,444.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.