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Finding the Fourth Proportional to 10,829.01, 16,097.40 and 10,509.76

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Solution

The fourth proportional to 10,829.01, 16,097.40 and 10,509.76 is: 15,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.01 : 16,097.40 = 10,509.76 : x
  2. Step 2: Convert to fraction form
    10,829.01/16,097.40 = 10,509.76/x
  3. Step 3: Cross multiply
    10,829.01x = 16,097.40 × 10,509.76
  4. Step 4: Simplify right side
    10,829.01x = 169,179,791.33
  5. Step 5: Solve for x
    x = 169,179,791.33/10,829.01
  6. Step 6: Final answer
    x = 15,622.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.