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Finding the Fourth Proportional to 7,897.36, 11,842.20 and 4,611.52

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Solution

The fourth proportional to 7,897.36, 11,842.20 and 4,611.52 is: 6,915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.36 : 11,842.20 = 4,611.52 : x
  2. Step 2: Convert to fraction form
    7,897.36/11,842.20 = 4,611.52/x
  3. Step 3: Cross multiply
    7,897.36x = 11,842.20 × 4,611.52
  4. Step 4: Simplify right side
    7,897.36x = 54,610,542.14
  5. Step 5: Solve for x
    x = 54,610,542.14/7,897.36
  6. Step 6: Final answer
    x = 6,915.04

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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.