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Finding the Fourth Proportional to 11,334.84, 15,641.88 and 6,299.06

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Solution

The fourth proportional to 11,334.84, 15,641.88 and 6,299.06 is: 8,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334.84 : 15,641.88 = 6,299.06 : x
  2. Step 2: Convert to fraction form
    11,334.84/15,641.88 = 6,299.06/x
  3. Step 3: Cross multiply
    11,334.84x = 15,641.88 × 6,299.06
  4. Step 4: Simplify right side
    11,334.84x = 98,529,140.63
  5. Step 5: Solve for x
    x = 98,529,140.63/11,334.84
  6. Step 6: Final answer
    x = 8,692.59

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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.