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Finding the Fourth Proportional to 7,641.41, 11,454.93 and 5,764.41

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Solution

The fourth proportional to 7,641.41, 11,454.93 and 5,764.41 is: 8,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.41 : 11,454.93 = 5,764.41 : x
  2. Step 2: Convert to fraction form
    7,641.41/11,454.93 = 5,764.41/x
  3. Step 3: Cross multiply
    7,641.41x = 11,454.93 × 5,764.41
  4. Step 4: Simplify right side
    7,641.41x = 66,030,913.04
  5. Step 5: Solve for x
    x = 66,030,913.04/7,641.41
  6. Step 6: Final answer
    x = 8,641.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.