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Finding the Fourth Proportional to 11,420.84, 15,762.20 and 6,385.36

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Solution

The fourth proportional to 11,420.84, 15,762.20 and 6,385.36 is: 8,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.84 : 15,762.20 = 6,385.36 : x
  2. Step 2: Convert to fraction form
    11,420.84/15,762.20 = 6,385.36/x
  3. Step 3: Cross multiply
    11,420.84x = 15,762.20 × 6,385.36
  4. Step 4: Simplify right side
    11,420.84x = 100,647,295.89
  5. Step 5: Solve for x
    x = 100,647,295.89/11,420.84
  6. Step 6: Final answer
    x = 8,812.60

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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.