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Finding the Fourth Proportional to 7,898.12, 10,899 and 4,361.64

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Solution

The fourth proportional to 7,898.12, 10,899 and 4,361.64 is: 6,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.12 : 10,899 = 4,361.64 : x
  2. Step 2: Convert to fraction form
    7,898.12/10,899 = 4,361.64/x
  3. Step 3: Cross multiply
    7,898.12x = 10,899 × 4,361.64
  4. Step 4: Simplify right side
    7,898.12x = 47,537,514.36
  5. Step 5: Solve for x
    x = 47,537,514.36/7,898.12
  6. Step 6: Final answer
    x = 6,018.84

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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.