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Finding the Fourth Proportional to 11,283.30, 15,571.49 and 6,503.94

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Solution

The fourth proportional to 11,283.30, 15,571.49 and 6,503.94 is: 8,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.30 : 15,571.49 = 6,503.94 : x
  2. Step 2: Convert to fraction form
    11,283.30/15,571.49 = 6,503.94/x
  3. Step 3: Cross multiply
    11,283.30x = 15,571.49 × 6,503.94
  4. Step 4: Simplify right side
    11,283.30x = 101,276,004.15
  5. Step 5: Solve for x
    x = 101,276,004.15/11,283.30
  6. Step 6: Final answer
    x = 8,975.74

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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.