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Finding the Fourth Proportional to 7,648.58, 11,476.18 and 4,141.07

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Solution

The fourth proportional to 7,648.58, 11,476.18 and 4,141.07 is: 6,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.58 : 11,476.18 = 4,141.07 : x
  2. Step 2: Convert to fraction form
    7,648.58/11,476.18 = 4,141.07/x
  3. Step 3: Cross multiply
    7,648.58x = 11,476.18 × 4,141.07
  4. Step 4: Simplify right side
    7,648.58x = 47,523,720.10
  5. Step 5: Solve for x
    x = 47,523,720.10/7,648.58
  6. Step 6: Final answer
    x = 6,213.41

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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.