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Finding the Fourth Proportional to 7,676.80, 11,509.12 and 3,057.28

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Solution

The fourth proportional to 7,676.80, 11,509.12 and 3,057.28 is: 4,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.80 : 11,509.12 = 3,057.28 : x
  2. Step 2: Convert to fraction form
    7,676.80/11,509.12 = 3,057.28/x
  3. Step 3: Cross multiply
    7,676.80x = 11,509.12 × 3,057.28
  4. Step 4: Simplify right side
    7,676.80x = 35,186,602.39
  5. Step 5: Solve for x
    x = 35,186,602.39/7,676.80
  6. Step 6: Final answer
    x = 4,583.50

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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.