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Finding the Fourth Proportional to 10,352.15, 14,285.88 and 5,636.42

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Solution

The fourth proportional to 10,352.15, 14,285.88 and 5,636.42 is: 7,778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.15 : 14,285.88 = 5,636.42 : x
  2. Step 2: Convert to fraction form
    10,352.15/14,285.88 = 5,636.42/x
  3. Step 3: Cross multiply
    10,352.15x = 14,285.88 × 5,636.42
  4. Step 4: Simplify right side
    10,352.15x = 80,521,219.75
  5. Step 5: Solve for x
    x = 80,521,219.75/10,352.15
  6. Step 6: Final answer
    x = 7,778.21

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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.