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Finding the Fourth Proportional to 10,722.37, 16,078.70 and 6,970.45

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Solution

The fourth proportional to 10,722.37, 16,078.70 and 6,970.45 is: 10,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.37 : 16,078.70 = 6,970.45 : x
  2. Step 2: Convert to fraction form
    10,722.37/16,078.70 = 6,970.45/x
  3. Step 3: Cross multiply
    10,722.37x = 16,078.70 × 6,970.45
  4. Step 4: Simplify right side
    10,722.37x = 112,075,739.56
  5. Step 5: Solve for x
    x = 112,075,739.56/10,722.37
  6. Step 6: Final answer
    x = 10,452.52

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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.