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Finding the Fourth Proportional to 10,028.58, 13,835.10 and 6,047.48

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Solution

The fourth proportional to 10,028.58, 13,835.10 and 6,047.48 is: 8,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.58 : 13,835.10 = 6,047.48 : x
  2. Step 2: Convert to fraction form
    10,028.58/13,835.10 = 6,047.48/x
  3. Step 3: Cross multiply
    10,028.58x = 13,835.10 × 6,047.48
  4. Step 4: Simplify right side
    10,028.58x = 83,667,490.55
  5. Step 5: Solve for x
    x = 83,667,490.55/10,028.58
  6. Step 6: Final answer
    x = 8,342.91

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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.