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Finding the Fourth Proportional to 8,075.76, 12,115.02 and 2,880.42

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Solution

The fourth proportional to 8,075.76, 12,115.02 and 2,880.42 is: 4,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.76 : 12,115.02 = 2,880.42 : x
  2. Step 2: Convert to fraction form
    8,075.76/12,115.02 = 2,880.42/x
  3. Step 3: Cross multiply
    8,075.76x = 12,115.02 × 2,880.42
  4. Step 4: Simplify right side
    8,075.76x = 34,896,345.91
  5. Step 5: Solve for x
    x = 34,896,345.91/8,075.76
  6. Step 6: Final answer
    x = 4,321.12

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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.