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Finding the Fourth Proportional to 10,076.00, 15,114.06 and 3,502.31

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Solution

The fourth proportional to 10,076.00, 15,114.06 and 3,502.31 is: 5,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.00 : 15,114.06 = 3,502.31 : x
  2. Step 2: Convert to fraction form
    10,076.00/15,114.06 = 3,502.31/x
  3. Step 3: Cross multiply
    10,076.00x = 15,114.06 × 3,502.31
  4. Step 4: Simplify right side
    10,076.00x = 52,934,047.91
  5. Step 5: Solve for x
    x = 52,934,047.91/10,076.00
  6. Step 6: Final answer
    x = 5,253.48

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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.