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Finding the Fourth Proportional to 7,111.60, 9,814.04 and 3,924.96

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Solution

The fourth proportional to 7,111.60, 9,814.04 and 3,924.96 is: 5,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.60 : 9,814.04 = 3,924.96 : x
  2. Step 2: Convert to fraction form
    7,111.60/9,814.04 = 3,924.96/x
  3. Step 3: Cross multiply
    7,111.60x = 9,814.04 × 3,924.96
  4. Step 4: Simplify right side
    7,111.60x = 38,519,714.44
  5. Step 5: Solve for x
    x = 38,519,714.44/7,111.60
  6. Step 6: Final answer
    x = 5,416.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.