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Finding the Fourth Proportional to 10,034.78, 15,054.26 and 3,014.51

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Solution

The fourth proportional to 10,034.78, 15,054.26 and 3,014.51 is: 4,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.78 : 15,054.26 = 3,014.51 : x
  2. Step 2: Convert to fraction form
    10,034.78/15,054.26 = 3,014.51/x
  3. Step 3: Cross multiply
    10,034.78x = 15,054.26 × 3,014.51
  4. Step 4: Simplify right side
    10,034.78x = 45,381,126.97
  5. Step 5: Solve for x
    x = 45,381,126.97/10,034.78
  6. Step 6: Final answer
    x = 4,522.39

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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.