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Finding the Fourth Proportional to 10,576.29, 15,868.14 and 6,623.04

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Solution

The fourth proportional to 10,576.29, 15,868.14 and 6,623.04 is: 9,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.29 : 15,868.14 = 6,623.04 : x
  2. Step 2: Convert to fraction form
    10,576.29/15,868.14 = 6,623.04/x
  3. Step 3: Cross multiply
    10,576.29x = 15,868.14 × 6,623.04
  4. Step 4: Simplify right side
    10,576.29x = 105,095,325.95
  5. Step 5: Solve for x
    x = 105,095,325.95/10,576.29
  6. Step 6: Final answer
    x = 9,936.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.