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Finding the Fourth Proportional to 8,731.36, 13,097.04 and 7,189.12

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Solution

The fourth proportional to 8,731.36, 13,097.04 and 7,189.12 is: 10,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.36 : 13,097.04 = 7,189.12 : x
  2. Step 2: Convert to fraction form
    8,731.36/13,097.04 = 7,189.12/x
  3. Step 3: Cross multiply
    8,731.36x = 13,097.04 × 7,189.12
  4. Step 4: Simplify right side
    8,731.36x = 94,156,192.20
  5. Step 5: Solve for x
    x = 94,156,192.20/8,731.36
  6. Step 6: Final answer
    x = 10,783.68

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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.