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Finding the Fourth Proportional to 10,896.84, 15,034.32 and 6,180.30

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Solution

The fourth proportional to 10,896.84, 15,034.32 and 6,180.30 is: 8,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.84 : 15,034.32 = 6,180.30 : x
  2. Step 2: Convert to fraction form
    10,896.84/15,034.32 = 6,180.30/x
  3. Step 3: Cross multiply
    10,896.84x = 15,034.32 × 6,180.30
  4. Step 4: Simplify right side
    10,896.84x = 92,916,607.90
  5. Step 5: Solve for x
    x = 92,916,607.90/10,896.84
  6. Step 6: Final answer
    x = 8,526.93

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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.