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Finding the Fourth Proportional to 8,624.64, 11,903.94 and 5,635.56

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Solution

The fourth proportional to 8,624.64, 11,903.94 and 5,635.56 is: 7,778.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.64 : 11,903.94 = 5,635.56 : x
  2. Step 2: Convert to fraction form
    8,624.64/11,903.94 = 5,635.56/x
  3. Step 3: Cross multiply
    8,624.64x = 11,903.94 × 5,635.56
  4. Step 4: Simplify right side
    8,624.64x = 67,085,368.11
  5. Step 5: Solve for x
    x = 67,085,368.11/8,624.64
  6. Step 6: Final answer
    x = 7,778.34

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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.