Home / 10,823.12-14,936.34-6,842.78

Finding the Fourth Proportional to 10,823.12, 14,936.34 and 6,842.78

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Solution

The fourth proportional to 10,823.12, 14,936.34 and 6,842.78 is: 9,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.12 : 14,936.34 = 6,842.78 : x
  2. Step 2: Convert to fraction form
    10,823.12/14,936.34 = 6,842.78/x
  3. Step 3: Cross multiply
    10,823.12x = 14,936.34 × 6,842.78
  4. Step 4: Simplify right side
    10,823.12x = 102,206,088.63
  5. Step 5: Solve for x
    x = 102,206,088.63/10,823.12
  6. Step 6: Final answer
    x = 9,443.31

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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.