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Finding the Fourth Proportional to 7,746.60, 11,611.80 and 4,231.20

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Solution

The fourth proportional to 7,746.60, 11,611.80 and 4,231.20 is: 6,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.60 : 11,611.80 = 4,231.20 : x
  2. Step 2: Convert to fraction form
    7,746.60/11,611.80 = 4,231.20/x
  3. Step 3: Cross multiply
    7,746.60x = 11,611.80 × 4,231.20
  4. Step 4: Simplify right side
    7,746.60x = 49,131,848.16
  5. Step 5: Solve for x
    x = 49,131,848.16/7,746.60
  6. Step 6: Final answer
    x = 6,342.38

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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.