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Finding the Fourth Proportional to 7,730.87, 10,677.29 and 5,208.57

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Solution

The fourth proportional to 7,730.87, 10,677.29 and 5,208.57 is: 7,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.87 : 10,677.29 = 5,208.57 : x
  2. Step 2: Convert to fraction form
    7,730.87/10,677.29 = 5,208.57/x
  3. Step 3: Cross multiply
    7,730.87x = 10,677.29 × 5,208.57
  4. Step 4: Simplify right side
    7,730.87x = 55,613,386.33
  5. Step 5: Solve for x
    x = 55,613,386.33/7,730.87
  6. Step 6: Final answer
    x = 7,193.68

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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.