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Finding the Fourth Proportional to 7,648.12, 11,455.80 and 3,744.40

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Solution

The fourth proportional to 7,648.12, 11,455.80 and 3,744.40 is: 5,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.12 : 11,455.80 = 3,744.40 : x
  2. Step 2: Convert to fraction form
    7,648.12/11,455.80 = 3,744.40/x
  3. Step 3: Cross multiply
    7,648.12x = 11,455.80 × 3,744.40
  4. Step 4: Simplify right side
    7,648.12x = 42,895,097.52
  5. Step 5: Solve for x
    x = 42,895,097.52/7,648.12
  6. Step 6: Final answer
    x = 5,608.58

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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.