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Finding the Fourth Proportional to 10,674.80, 16,019.40 and 4,828.40

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Solution

The fourth proportional to 10,674.80, 16,019.40 and 4,828.40 is: 7,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.80 : 16,019.40 = 4,828.40 : x
  2. Step 2: Convert to fraction form
    10,674.80/16,019.40 = 4,828.40/x
  3. Step 3: Cross multiply
    10,674.80x = 16,019.40 × 4,828.40
  4. Step 4: Simplify right side
    10,674.80x = 77,348,070.96
  5. Step 5: Solve for x
    x = 77,348,070.96/10,674.80
  6. Step 6: Final answer
    x = 7,245.86

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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.