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Finding the Fourth Proportional to 8,582.96, 12,878.44 and 3,040.50

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Solution

The fourth proportional to 8,582.96, 12,878.44 and 3,040.50 is: 4,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.96 : 12,878.44 = 3,040.50 : x
  2. Step 2: Convert to fraction form
    8,582.96/12,878.44 = 3,040.50/x
  3. Step 3: Cross multiply
    8,582.96x = 12,878.44 × 3,040.50
  4. Step 4: Simplify right side
    8,582.96x = 39,156,896.82
  5. Step 5: Solve for x
    x = 39,156,896.82/8,582.96
  6. Step 6: Final answer
    x = 4,562.17

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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.