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Finding the Fourth Proportional to 7,700.28, 10,622.68 and 5,046.52

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Solution

The fourth proportional to 7,700.28, 10,622.68 and 5,046.52 is: 6,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.28 : 10,622.68 = 5,046.52 : x
  2. Step 2: Convert to fraction form
    7,700.28/10,622.68 = 5,046.52/x
  3. Step 3: Cross multiply
    7,700.28x = 10,622.68 × 5,046.52
  4. Step 4: Simplify right side
    7,700.28x = 53,607,567.07
  5. Step 5: Solve for x
    x = 53,607,567.07/7,700.28
  6. Step 6: Final answer
    x = 6,961.77

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