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Finding the Fourth Proportional to 8,050.50, 12,075.75 and 2,856.51

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Solution

The fourth proportional to 8,050.50, 12,075.75 and 2,856.51 is: 4,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050.50 : 12,075.75 = 2,856.51 : x
  2. Step 2: Convert to fraction form
    8,050.50/12,075.75 = 2,856.51/x
  3. Step 3: Cross multiply
    8,050.50x = 12,075.75 × 2,856.51
  4. Step 4: Simplify right side
    8,050.50x = 34,494,500.63
  5. Step 5: Solve for x
    x = 34,494,500.63/8,050.50
  6. Step 6: Final answer
    x = 4,284.77

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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.