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Finding the Fourth Proportional to 11,352.25, 15,666.11 and 6,384.25

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Solution

The fourth proportional to 11,352.25, 15,666.11 and 6,384.25 is: 8,810.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.25 : 15,666.11 = 6,384.25 : x
  2. Step 2: Convert to fraction form
    11,352.25/15,666.11 = 6,384.25/x
  3. Step 3: Cross multiply
    11,352.25x = 15,666.11 × 6,384.25
  4. Step 4: Simplify right side
    11,352.25x = 100,016,362.77
  5. Step 5: Solve for x
    x = 100,016,362.77/11,352.25
  6. Step 6: Final answer
    x = 8,810.27

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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.