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Finding the Fourth Proportional to 7,448.69, 10,278.69 and 4,261.59

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Solution

The fourth proportional to 7,448.69, 10,278.69 and 4,261.59 is: 5,880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.69 : 10,278.69 = 4,261.59 : x
  2. Step 2: Convert to fraction form
    7,448.69/10,278.69 = 4,261.59/x
  3. Step 3: Cross multiply
    7,448.69x = 10,278.69 × 4,261.59
  4. Step 4: Simplify right side
    7,448.69x = 43,803,562.52
  5. Step 5: Solve for x
    x = 43,803,562.52/7,448.69
  6. Step 6: Final answer
    x = 5,880.71

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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.