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Finding the Fourth Proportional to 7,781.63, 10,731.15 and 5,235.12

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Solution

The fourth proportional to 7,781.63, 10,731.15 and 5,235.12 is: 7,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.63 : 10,731.15 = 5,235.12 : x
  2. Step 2: Convert to fraction form
    7,781.63/10,731.15 = 5,235.12/x
  3. Step 3: Cross multiply
    7,781.63x = 10,731.15 × 5,235.12
  4. Step 4: Simplify right side
    7,781.63x = 56,178,857.99
  5. Step 5: Solve for x
    x = 56,178,857.99/7,781.63
  6. Step 6: Final answer
    x = 7,219.42

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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.