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Finding the Fourth Proportional to 10,235.94, 15,352.70 and 6,021.72

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Solution

The fourth proportional to 10,235.94, 15,352.70 and 6,021.72 is: 9,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.94 : 15,352.70 = 6,021.72 : x
  2. Step 2: Convert to fraction form
    10,235.94/15,352.70 = 6,021.72/x
  3. Step 3: Cross multiply
    10,235.94x = 15,352.70 × 6,021.72
  4. Step 4: Simplify right side
    10,235.94x = 92,449,660.64
  5. Step 5: Solve for x
    x = 92,449,660.64/10,235.94
  6. Step 6: Final answer
    x = 9,031.87

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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.