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Finding the Fourth Proportional to 7,477.62, 10,318.65 and 4,120.25

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Solution

The fourth proportional to 7,477.62, 10,318.65 and 4,120.25 is: 5,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.62 : 10,318.65 = 4,120.25 : x
  2. Step 2: Convert to fraction form
    7,477.62/10,318.65 = 4,120.25/x
  3. Step 3: Cross multiply
    7,477.62x = 10,318.65 × 4,120.25
  4. Step 4: Simplify right side
    7,477.62x = 42,515,366.07
  5. Step 5: Solve for x
    x = 42,515,366.07/7,477.62
  6. Step 6: Final answer
    x = 5,685.68

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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.