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Finding the Fourth Proportional to 11,352.50, 15,666.45 and 6,384.50

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Solution

The fourth proportional to 11,352.50, 15,666.45 and 6,384.50 is: 8,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.50 : 15,666.45 = 6,384.50 : x
  2. Step 2: Convert to fraction form
    11,352.50/15,666.45 = 6,384.50/x
  3. Step 3: Cross multiply
    11,352.50x = 15,666.45 × 6,384.50
  4. Step 4: Simplify right side
    11,352.50x = 100,022,450.03
  5. Step 5: Solve for x
    x = 100,022,450.03/11,352.50
  6. Step 6: Final answer
    x = 8,810.61

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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.