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Finding the Fourth Proportional to 8,489.60, 11,715.63 and 4,713.34

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Solution

The fourth proportional to 8,489.60, 11,715.63 and 4,713.34 is: 6,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.60 : 11,715.63 = 4,713.34 : x
  2. Step 2: Convert to fraction form
    8,489.60/11,715.63 = 4,713.34/x
  3. Step 3: Cross multiply
    8,489.60x = 11,715.63 × 4,713.34
  4. Step 4: Simplify right side
    8,489.60x = 55,219,747.50
  5. Step 5: Solve for x
    x = 55,219,747.50/8,489.60
  6. Step 6: Final answer
    x = 6,504.40

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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.