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Finding the Fourth Proportional to 7,700.29, 10,625.58 and 5,684.76

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Solution

The fourth proportional to 7,700.29, 10,625.58 and 5,684.76 is: 7,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.29 : 10,625.58 = 5,684.76 : x
  2. Step 2: Convert to fraction form
    7,700.29/10,625.58 = 5,684.76/x
  3. Step 3: Cross multiply
    7,700.29x = 10,625.58 × 5,684.76
  4. Step 4: Simplify right side
    7,700.29x = 60,403,872.16
  5. Step 5: Solve for x
    x = 60,403,872.16/7,700.29
  6. Step 6: Final answer
    x = 7,844.37

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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.