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Finding the Fourth Proportional to 8,499.55, 11,729.64 and 5,142.98

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Solution

The fourth proportional to 8,499.55, 11,729.64 and 5,142.98 is: 7,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.55 : 11,729.64 = 5,142.98 : x
  2. Step 2: Convert to fraction form
    8,499.55/11,729.64 = 5,142.98/x
  3. Step 3: Cross multiply
    8,499.55x = 11,729.64 × 5,142.98
  4. Step 4: Simplify right side
    8,499.55x = 60,325,303.93
  5. Step 5: Solve for x
    x = 60,325,303.93/8,499.55
  6. Step 6: Final answer
    x = 7,097.47

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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.