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Finding the Fourth Proportional to 10,674.40, 16,011.60 and 6,783.20

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Solution

The fourth proportional to 10,674.40, 16,011.60 and 6,783.20 is: 10,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.40 : 16,011.60 = 6,783.20 : x
  2. Step 2: Convert to fraction form
    10,674.40/16,011.60 = 6,783.20/x
  3. Step 3: Cross multiply
    10,674.40x = 16,011.60 × 6,783.20
  4. Step 4: Simplify right side
    10,674.40x = 108,609,885.12
  5. Step 5: Solve for x
    x = 108,609,885.12/10,674.40
  6. Step 6: Final answer
    x = 10,174.80

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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.