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Finding the Fourth Proportional to 8,729, 13,079.80 and 3,461.16

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Solution

The fourth proportional to 8,729, 13,079.80 and 3,461.16 is: 5,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729 : 13,079.80 = 3,461.16 : x
  2. Step 2: Convert to fraction form
    8,729/13,079.80 = 3,461.16/x
  3. Step 3: Cross multiply
    8,729x = 13,079.80 × 3,461.16
  4. Step 4: Simplify right side
    8,729x = 45,271,280.57
  5. Step 5: Solve for x
    x = 45,271,280.57/8,729
  6. Step 6: Final answer
    x = 5,186.31

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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.