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Finding the Fourth Proportional to 10,352.90, 14,288.86 and 6,103.72

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Solution

The fourth proportional to 10,352.90, 14,288.86 and 6,103.72 is: 8,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.90 : 14,288.86 = 6,103.72 : x
  2. Step 2: Convert to fraction form
    10,352.90/14,288.86 = 6,103.72/x
  3. Step 3: Cross multiply
    10,352.90x = 14,288.86 × 6,103.72
  4. Step 4: Simplify right side
    10,352.90x = 87,215,200.56
  5. Step 5: Solve for x
    x = 87,215,200.56/10,352.90
  6. Step 6: Final answer
    x = 8,424.23

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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.