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Finding the Fourth Proportional to 10,384.49, 15,576.22 and 3,810.16

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Solution

The fourth proportional to 10,384.49, 15,576.22 and 3,810.16 is: 5,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.49 : 15,576.22 = 3,810.16 : x
  2. Step 2: Convert to fraction form
    10,384.49/15,576.22 = 3,810.16/x
  3. Step 3: Cross multiply
    10,384.49x = 15,576.22 × 3,810.16
  4. Step 4: Simplify right side
    10,384.49x = 59,347,969.15
  5. Step 5: Solve for x
    x = 59,347,969.15/10,384.49
  6. Step 6: Final answer
    x = 5,715.06

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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.