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Finding the Fourth Proportional to 10,726.60, 16,089.90 and 2,829.10

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Solution

The fourth proportional to 10,726.60, 16,089.90 and 2,829.10 is: 4,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.60 : 16,089.90 = 2,829.10 : x
  2. Step 2: Convert to fraction form
    10,726.60/16,089.90 = 2,829.10/x
  3. Step 3: Cross multiply
    10,726.60x = 16,089.90 × 2,829.10
  4. Step 4: Simplify right side
    10,726.60x = 45,519,936.09
  5. Step 5: Solve for x
    x = 45,519,936.09/10,726.60
  6. Step 6: Final answer
    x = 4,243.65

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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.