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Finding the Fourth Proportional to 10,034.65, 15,055.01 and 3,796.58

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Solution

The fourth proportional to 10,034.65, 15,055.01 and 3,796.58 is: 5,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.65 : 15,055.01 = 3,796.58 : x
  2. Step 2: Convert to fraction form
    10,034.65/15,055.01 = 3,796.58/x
  3. Step 3: Cross multiply
    10,034.65x = 15,055.01 × 3,796.58
  4. Step 4: Simplify right side
    10,034.65x = 57,157,474.59
  5. Step 5: Solve for x
    x = 57,157,474.59/10,034.65
  6. Step 6: Final answer
    x = 5,696.01

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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.