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Finding the Fourth Proportional to 7,863.66, 11,790.54 and 3,701.16

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Solution

The fourth proportional to 7,863.66, 11,790.54 and 3,701.16 is: 5,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.66 : 11,790.54 = 3,701.16 : x
  2. Step 2: Convert to fraction form
    7,863.66/11,790.54 = 3,701.16/x
  3. Step 3: Cross multiply
    7,863.66x = 11,790.54 × 3,701.16
  4. Step 4: Simplify right side
    7,863.66x = 43,638,675.03
  5. Step 5: Solve for x
    x = 43,638,675.03/7,863.66
  6. Step 6: Final answer
    x = 5,549.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.