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Finding the Fourth Proportional to 7,860.95, 11,783.17 and 3,697.65

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Solution

The fourth proportional to 7,860.95, 11,783.17 and 3,697.65 is: 5,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.95 : 11,783.17 = 3,697.65 : x
  2. Step 2: Convert to fraction form
    7,860.95/11,783.17 = 3,697.65/x
  3. Step 3: Cross multiply
    7,860.95x = 11,783.17 × 3,697.65
  4. Step 4: Simplify right side
    7,860.95x = 43,570,043.17
  5. Step 5: Solve for x
    x = 43,570,043.17/7,860.95
  6. Step 6: Final answer
    x = 5,542.59

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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.