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Finding the Fourth Proportional to 10,034.71, 15,055.04 and 3,461.56

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Solution

The fourth proportional to 10,034.71, 15,055.04 and 3,461.56 is: 5,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.71 : 15,055.04 = 3,461.56 : x
  2. Step 2: Convert to fraction form
    10,034.71/15,055.04 = 3,461.56/x
  3. Step 3: Cross multiply
    10,034.71x = 15,055.04 × 3,461.56
  4. Step 4: Simplify right side
    10,034.71x = 52,113,924.26
  5. Step 5: Solve for x
    x = 52,113,924.26/10,034.71
  6. Step 6: Final answer
    x = 5,193.37

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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.