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Finding the Fourth Proportional to 7,841.60, 11,762.32 and 2,647.44

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Solution

The fourth proportional to 7,841.60, 11,762.32 and 2,647.44 is: 3,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.60 : 11,762.32 = 2,647.44 : x
  2. Step 2: Convert to fraction form
    7,841.60/11,762.32 = 2,647.44/x
  3. Step 3: Cross multiply
    7,841.60x = 11,762.32 × 2,647.44
  4. Step 4: Simplify right side
    7,841.60x = 31,140,036.46
  5. Step 5: Solve for x
    x = 31,140,036.46/7,841.60
  6. Step 6: Final answer
    x = 3,971.13

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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.