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Finding the Fourth Proportional to 7,448.94, 10,280.70 and 4,616.82

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Solution

The fourth proportional to 7,448.94, 10,280.70 and 4,616.82 is: 6,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.94 : 10,280.70 = 4,616.82 : x
  2. Step 2: Convert to fraction form
    7,448.94/10,280.70 = 4,616.82/x
  3. Step 3: Cross multiply
    7,448.94x = 10,280.70 × 4,616.82
  4. Step 4: Simplify right side
    7,448.94x = 47,464,141.37
  5. Step 5: Solve for x
    x = 47,464,141.37/7,448.94
  6. Step 6: Final answer
    x = 6,371.93

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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.