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Finding the Fourth Proportional to 8,424.69, 12,639.47 and 2,582.16

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Solution

The fourth proportional to 8,424.69, 12,639.47 and 2,582.16 is: 3,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.69 : 12,639.47 = 2,582.16 : x
  2. Step 2: Convert to fraction form
    8,424.69/12,639.47 = 2,582.16/x
  3. Step 3: Cross multiply
    8,424.69x = 12,639.47 × 2,582.16
  4. Step 4: Simplify right side
    8,424.69x = 32,637,120.94
  5. Step 5: Solve for x
    x = 32,637,120.94/8,424.69
  6. Step 6: Final answer
    x = 3,873.98

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Why These Related Problems?

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