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Finding the Fourth Proportional to 8,354.60, 11,529.06 and 4,817.32

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Solution

The fourth proportional to 8,354.60, 11,529.06 and 4,817.32 is: 6,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.60 : 11,529.06 = 4,817.32 : x
  2. Step 2: Convert to fraction form
    8,354.60/11,529.06 = 4,817.32/x
  3. Step 3: Cross multiply
    8,354.60x = 11,529.06 × 4,817.32
  4. Step 4: Simplify right side
    8,354.60x = 55,539,171.32
  5. Step 5: Solve for x
    x = 55,539,171.32/8,354.60
  6. Step 6: Final answer
    x = 6,647.74

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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.