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Finding the Fourth Proportional to 10,034.36, 15,051.90 and 3,460.76

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Solution

The fourth proportional to 10,034.36, 15,051.90 and 3,460.76 is: 5,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.36 : 15,051.90 = 3,460.76 : x
  2. Step 2: Convert to fraction form
    10,034.36/15,051.90 = 3,460.76/x
  3. Step 3: Cross multiply
    10,034.36x = 15,051.90 × 3,460.76
  4. Step 4: Simplify right side
    10,034.36x = 52,091,013.44
  5. Step 5: Solve for x
    x = 52,091,013.44/10,034.36
  6. Step 6: Final answer
    x = 5,191.26

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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.