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Finding the Fourth Proportional to 7,648.75, 11,475.02 and 2,454.63

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Solution

The fourth proportional to 7,648.75, 11,475.02 and 2,454.63 is: 3,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.75 : 11,475.02 = 2,454.63 : x
  2. Step 2: Convert to fraction form
    7,648.75/11,475.02 = 2,454.63/x
  3. Step 3: Cross multiply
    7,648.75x = 11,475.02 × 2,454.63
  4. Step 4: Simplify right side
    7,648.75x = 28,166,928.34
  5. Step 5: Solve for x
    x = 28,166,928.34/7,648.75
  6. Step 6: Final answer
    x = 3,682.55

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