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Finding the Fourth Proportional to 10,223.01, 15,334.52 and 2,827.47

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Solution

The fourth proportional to 10,223.01, 15,334.52 and 2,827.47 is: 4,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.01 : 15,334.52 = 2,827.47 : x
  2. Step 2: Convert to fraction form
    10,223.01/15,334.52 = 2,827.47/x
  3. Step 3: Cross multiply
    10,223.01x = 15,334.52 × 2,827.47
  4. Step 4: Simplify right side
    10,223.01x = 43,357,938.63
  5. Step 5: Solve for x
    x = 43,357,938.63/10,223.01
  6. Step 6: Final answer
    x = 4,241.21

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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.