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Finding the Fourth Proportional to 10,833.85, 16,254.88 and 4,989.09

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Solution

The fourth proportional to 10,833.85, 16,254.88 and 4,989.09 is: 7,485.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.85 : 16,254.88 = 4,989.09 : x
  2. Step 2: Convert to fraction form
    10,833.85/16,254.88 = 4,989.09/x
  3. Step 3: Cross multiply
    10,833.85x = 16,254.88 × 4,989.09
  4. Step 4: Simplify right side
    10,833.85x = 81,097,107.74
  5. Step 5: Solve for x
    x = 81,097,107.74/10,833.85
  6. Step 6: Final answer
    x = 7,485.53

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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.