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Finding the Fourth Proportional to 7,648.96, 11,473.32 and 5,051.20

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Solution

The fourth proportional to 7,648.96, 11,473.32 and 5,051.20 is: 7,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.96 : 11,473.32 = 5,051.20 : x
  2. Step 2: Convert to fraction form
    7,648.96/11,473.32 = 5,051.20/x
  3. Step 3: Cross multiply
    7,648.96x = 11,473.32 × 5,051.20
  4. Step 4: Simplify right side
    7,648.96x = 57,954,033.98
  5. Step 5: Solve for x
    x = 57,954,033.98/7,648.96
  6. Step 6: Final answer
    x = 7,576.72

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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.