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Finding the Fourth Proportional to 11,841.60, 17,762.40 and 4,051.20

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Solution

The fourth proportional to 11,841.60, 17,762.40 and 4,051.20 is: 6,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.60 : 17,762.40 = 4,051.20 : x
  2. Step 2: Convert to fraction form
    11,841.60/17,762.40 = 4,051.20/x
  3. Step 3: Cross multiply
    11,841.60x = 17,762.40 × 4,051.20
  4. Step 4: Simplify right side
    11,841.60x = 71,959,034.88
  5. Step 5: Solve for x
    x = 71,959,034.88/11,841.60
  6. Step 6: Final answer
    x = 6,076.80

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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.