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Finding the Fourth Proportional to 11,790.12, 17,681.58 and 4,863

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Solution

The fourth proportional to 11,790.12, 17,681.58 and 4,863 is: 7,293.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790.12 : 17,681.58 = 4,863 : x
  2. Step 2: Convert to fraction form
    11,790.12/17,681.58 = 4,863/x
  3. Step 3: Cross multiply
    11,790.12x = 17,681.58 × 4,863
  4. Step 4: Simplify right side
    11,790.12x = 85,985,523.54
  5. Step 5: Solve for x
    x = 85,985,523.54/11,790.12
  6. Step 6: Final answer
    x = 7,293.02

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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.