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Finding the Fourth Proportional to 10,356.69, 15,533.40 and 3,431.19

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Solution

The fourth proportional to 10,356.69, 15,533.40 and 3,431.19 is: 5,146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.69 : 15,533.40 = 3,431.19 : x
  2. Step 2: Convert to fraction form
    10,356.69/15,533.40 = 3,431.19/x
  3. Step 3: Cross multiply
    10,356.69x = 15,533.40 × 3,431.19
  4. Step 4: Simplify right side
    10,356.69x = 53,298,046.75
  5. Step 5: Solve for x
    x = 53,298,046.75/10,356.69
  6. Step 6: Final answer
    x = 5,146.24

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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.