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Finding the Fourth Proportional to 7,857.72, 11,790.41 and 3,698.13

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Solution

The fourth proportional to 7,857.72, 11,790.41 and 3,698.13 is: 5,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.72 : 11,790.41 = 3,698.13 : x
  2. Step 2: Convert to fraction form
    7,857.72/11,790.41 = 3,698.13/x
  3. Step 3: Cross multiply
    7,857.72x = 11,790.41 × 3,698.13
  4. Step 4: Simplify right side
    7,857.72x = 43,602,468.93
  5. Step 5: Solve for x
    x = 43,602,468.93/7,857.72
  6. Step 6: Final answer
    x = 5,549.00

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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.