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Finding the Fourth Proportional to 8,075.86, 12,113.43 and 2,814.58

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Solution

The fourth proportional to 8,075.86, 12,113.43 and 2,814.58 is: 4,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.86 : 12,113.43 = 2,814.58 : x
  2. Step 2: Convert to fraction form
    8,075.86/12,113.43 = 2,814.58/x
  3. Step 3: Cross multiply
    8,075.86x = 12,113.43 × 2,814.58
  4. Step 4: Simplify right side
    8,075.86x = 34,094,217.81
  5. Step 5: Solve for x
    x = 34,094,217.81/8,075.86
  6. Step 6: Final answer
    x = 4,221.74

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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.