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Finding the Fourth Proportional to 10,809.72, 16,219.44 and 4,970.70

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Solution

The fourth proportional to 10,809.72, 16,219.44 and 4,970.70 is: 7,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.72 : 16,219.44 = 4,970.70 : x
  2. Step 2: Convert to fraction form
    10,809.72/16,219.44 = 4,970.70/x
  3. Step 3: Cross multiply
    10,809.72x = 16,219.44 × 4,970.70
  4. Step 4: Simplify right side
    10,809.72x = 80,621,970.41
  5. Step 5: Solve for x
    x = 80,621,970.41/10,809.72
  6. Step 6: Final answer
    x = 7,458.28

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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.