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Finding the Fourth Proportional to 7,639.49, 10,544.78 and 4,656.80

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Solution

The fourth proportional to 7,639.49, 10,544.78 and 4,656.80 is: 6,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.49 : 10,544.78 = 4,656.80 : x
  2. Step 2: Convert to fraction form
    7,639.49/10,544.78 = 4,656.80/x
  3. Step 3: Cross multiply
    7,639.49x = 10,544.78 × 4,656.80
  4. Step 4: Simplify right side
    7,639.49x = 49,104,969.51
  5. Step 5: Solve for x
    x = 49,104,969.51/7,639.49
  6. Step 6: Final answer
    x = 6,427.78

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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.