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Finding the Fourth Proportional to 10,047.05, 15,072.68 and 3,027.58

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Solution

The fourth proportional to 10,047.05, 15,072.68 and 3,027.58 is: 4,542.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.05 : 15,072.68 = 3,027.58 : x
  2. Step 2: Convert to fraction form
    10,047.05/15,072.68 = 3,027.58/x
  3. Step 3: Cross multiply
    10,047.05x = 15,072.68 × 3,027.58
  4. Step 4: Simplify right side
    10,047.05x = 45,633,744.51
  5. Step 5: Solve for x
    x = 45,633,744.51/10,047.05
  6. Step 6: Final answer
    x = 4,542.00

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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.