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Finding the Fourth Proportional to 8,429.72, 12,648.63 and 4,533.62

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Solution

The fourth proportional to 8,429.72, 12,648.63 and 4,533.62 is: 6,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.72 : 12,648.63 = 4,533.62 : x
  2. Step 2: Convert to fraction form
    8,429.72/12,648.63 = 4,533.62/x
  3. Step 3: Cross multiply
    8,429.72x = 12,648.63 × 4,533.62
  4. Step 4: Simplify right side
    8,429.72x = 57,344,081.94
  5. Step 5: Solve for x
    x = 57,344,081.94/8,429.72
  6. Step 6: Final answer
    x = 6,802.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.