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Finding the Fourth Proportional to 7,842.99, 11,765.51 and 4,145.37

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Solution

The fourth proportional to 7,842.99, 11,765.51 and 4,145.37 is: 6,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.99 : 11,765.51 = 4,145.37 : x
  2. Step 2: Convert to fraction form
    7,842.99/11,765.51 = 4,145.37/x
  3. Step 3: Cross multiply
    7,842.99x = 11,765.51 × 4,145.37
  4. Step 4: Simplify right side
    7,842.99x = 48,772,392.19
  5. Step 5: Solve for x
    x = 48,772,392.19/7,842.99
  6. Step 6: Final answer
    x = 6,218.60

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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.