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Finding the Fourth Proportional to 8,842.94, 13,260.16 and 5,146

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Solution

The fourth proportional to 8,842.94, 13,260.16 and 5,146 is: 7,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.94 : 13,260.16 = 5,146 : x
  2. Step 2: Convert to fraction form
    8,842.94/13,260.16 = 5,146/x
  3. Step 3: Cross multiply
    8,842.94x = 13,260.16 × 5,146
  4. Step 4: Simplify right side
    8,842.94x = 68,236,783.36
  5. Step 5: Solve for x
    x = 68,236,783.36/8,842.94
  6. Step 6: Final answer
    x = 7,716.53

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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.