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Finding the Fourth Proportional to 8,698.60, 12,005.22 and 5,905

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Solution

The fourth proportional to 8,698.60, 12,005.22 and 5,905 is: 8,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.60 : 12,005.22 = 5,905 : x
  2. Step 2: Convert to fraction form
    8,698.60/12,005.22 = 5,905/x
  3. Step 3: Cross multiply
    8,698.60x = 12,005.22 × 5,905
  4. Step 4: Simplify right side
    8,698.60x = 70,890,824.10
  5. Step 5: Solve for x
    x = 70,890,824.10/8,698.60
  6. Step 6: Final answer
    x = 8,149.68

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