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Finding the Fourth Proportional to 7,700.20, 11,530.14 and 5,970.28

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Solution

The fourth proportional to 7,700.20, 11,530.14 and 5,970.28 is: 8,939.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.20 : 11,530.14 = 5,970.28 : x
  2. Step 2: Convert to fraction form
    7,700.20/11,530.14 = 5,970.28/x
  3. Step 3: Cross multiply
    7,700.20x = 11,530.14 × 5,970.28
  4. Step 4: Simplify right side
    7,700.20x = 68,838,164.24
  5. Step 5: Solve for x
    x = 68,838,164.24/7,700.20
  6. Step 6: Final answer
    x = 8,939.79

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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.