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Finding the Fourth Proportional to 8,582.40, 12,883.20 and 8,018.40

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Solution

The fourth proportional to 8,582.40, 12,883.20 and 8,018.40 is: 12,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.40 : 12,883.20 = 8,018.40 : x
  2. Step 2: Convert to fraction form
    8,582.40/12,883.20 = 8,018.40/x
  3. Step 3: Cross multiply
    8,582.40x = 12,883.20 × 8,018.40
  4. Step 4: Simplify right side
    8,582.40x = 103,302,650.88
  5. Step 5: Solve for x
    x = 103,302,650.88/8,582.40
  6. Step 6: Final answer
    x = 12,036.57

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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.