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Finding the Fourth Proportional to 10,650.83, 15,980.63 and 4,412.09

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Solution

The fourth proportional to 10,650.83, 15,980.63 and 4,412.09 is: 6,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.83 : 15,980.63 = 4,412.09 : x
  2. Step 2: Convert to fraction form
    10,650.83/15,980.63 = 4,412.09/x
  3. Step 3: Cross multiply
    10,650.83x = 15,980.63 × 4,412.09
  4. Step 4: Simplify right side
    10,650.83x = 70,507,995.71
  5. Step 5: Solve for x
    x = 70,507,995.71/10,650.83
  6. Step 6: Final answer
    x = 6,619.96

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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.