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Finding the Fourth Proportional to 7,448.94, 10,278.75 and 4,464.69

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Solution

The fourth proportional to 7,448.94, 10,278.75 and 4,464.69 is: 6,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.94 : 10,278.75 = 4,464.69 : x
  2. Step 2: Convert to fraction form
    7,448.94/10,278.75 = 4,464.69/x
  3. Step 3: Cross multiply
    7,448.94x = 10,278.75 × 4,464.69
  4. Step 4: Simplify right side
    7,448.94x = 45,891,432.34
  5. Step 5: Solve for x
    x = 45,891,432.34/7,448.94
  6. Step 6: Final answer
    x = 6,160.80

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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.