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Finding the Fourth Proportional to 10,034.56, 13,847.10 and 5,558.06

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Solution

The fourth proportional to 10,034.56, 13,847.10 and 5,558.06 is: 7,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.56 : 13,847.10 = 5,558.06 : x
  2. Step 2: Convert to fraction form
    10,034.56/13,847.10 = 5,558.06/x
  3. Step 3: Cross multiply
    10,034.56x = 13,847.10 × 5,558.06
  4. Step 4: Simplify right side
    10,034.56x = 76,963,012.63
  5. Step 5: Solve for x
    x = 76,963,012.63/10,034.56
  6. Step 6: Final answer
    x = 7,669.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.