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Finding the Fourth Proportional to 8,055.68, 12,080 and 4,775.36

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Solution

The fourth proportional to 8,055.68, 12,080 and 4,775.36 is: 7,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055.68 : 12,080 = 4,775.36 : x
  2. Step 2: Convert to fraction form
    8,055.68/12,080 = 4,775.36/x
  3. Step 3: Cross multiply
    8,055.68x = 12,080 × 4,775.36
  4. Step 4: Simplify right side
    8,055.68x = 57,686,348.80
  5. Step 5: Solve for x
    x = 57,686,348.80/8,055.68
  6. Step 6: Final answer
    x = 7,160.95

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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.