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Finding the Fourth Proportional to 10,324.33, 15,486.50 and 2,827.34

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Solution

The fourth proportional to 10,324.33, 15,486.50 and 2,827.34 is: 4,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.33 : 15,486.50 = 2,827.34 : x
  2. Step 2: Convert to fraction form
    10,324.33/15,486.50 = 2,827.34/x
  3. Step 3: Cross multiply
    10,324.33x = 15,486.50 × 2,827.34
  4. Step 4: Simplify right side
    10,324.33x = 43,785,547.21
  5. Step 5: Solve for x
    x = 43,785,547.21/10,324.33
  6. Step 6: Final answer
    x = 4,241.01

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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.