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Finding the Fourth Proportional to 7,848.38, 11,757.53 and 7,584.57

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Solution

The fourth proportional to 7,848.38, 11,757.53 and 7,584.57 is: 11,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.38 : 11,757.53 = 7,584.57 : x
  2. Step 2: Convert to fraction form
    7,848.38/11,757.53 = 7,584.57/x
  3. Step 3: Cross multiply
    7,848.38x = 11,757.53 × 7,584.57
  4. Step 4: Simplify right side
    7,848.38x = 89,175,809.31
  5. Step 5: Solve for x
    x = 89,175,809.31/7,848.38
  6. Step 6: Final answer
    x = 11,362.32

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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.