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Finding the Fourth Proportional to 10,830.66, 16,245.96 and 8,862.36

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Solution

The fourth proportional to 10,830.66, 16,245.96 and 8,862.36 is: 13,293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.66 : 16,245.96 = 8,862.36 : x
  2. Step 2: Convert to fraction form
    10,830.66/16,245.96 = 8,862.36/x
  3. Step 3: Cross multiply
    10,830.66x = 16,245.96 × 8,862.36
  4. Step 4: Simplify right side
    10,830.66x = 143,977,546.07
  5. Step 5: Solve for x
    x = 143,977,546.07/10,830.66
  6. Step 6: Final answer
    x = 13,293.52

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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.