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Finding the Fourth Proportional to 8,499.60, 11,729.70 and 5,143.01

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Solution

The fourth proportional to 8,499.60, 11,729.70 and 5,143.01 is: 7,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.60 : 11,729.70 = 5,143.01 : x
  2. Step 2: Convert to fraction form
    8,499.60/11,729.70 = 5,143.01/x
  3. Step 3: Cross multiply
    8,499.60x = 11,729.70 × 5,143.01
  4. Step 4: Simplify right side
    8,499.60x = 60,325,905.75
  5. Step 5: Solve for x
    x = 60,325,905.75/8,499.60
  6. Step 6: Final answer
    x = 7,097.50

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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.