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Finding the Fourth Proportional to 8,750.82, 12,075.90 and 4,772

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Solution

The fourth proportional to 8,750.82, 12,075.90 and 4,772 is: 6,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,750.82 : 12,075.90 = 4,772 : x
  2. Step 2: Convert to fraction form
    8,750.82/12,075.90 = 4,772/x
  3. Step 3: Cross multiply
    8,750.82x = 12,075.90 × 4,772
  4. Step 4: Simplify right side
    8,750.82x = 57,626,194.80
  5. Step 5: Solve for x
    x = 57,626,194.80/8,750.82
  6. Step 6: Final answer
    x = 6,585.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.