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Finding the Fourth Proportional to 8,729, 12,046.02 and 5,003

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Solution

The fourth proportional to 8,729, 12,046.02 and 5,003 is: 6,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729 : 12,046.02 = 5,003 : x
  2. Step 2: Convert to fraction form
    8,729/12,046.02 = 5,003/x
  3. Step 3: Cross multiply
    8,729x = 12,046.02 × 5,003
  4. Step 4: Simplify right side
    8,729x = 60,266,238.06
  5. Step 5: Solve for x
    x = 60,266,238.06/8,729
  6. Step 6: Final answer
    x = 6,904.14

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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.