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Finding the Fourth Proportional to 10,440.36, 15,660.57 and 3,045

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Solution

The fourth proportional to 10,440.36, 15,660.57 and 3,045 is: 4,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.36 : 15,660.57 = 3,045 : x
  2. Step 2: Convert to fraction form
    10,440.36/15,660.57 = 3,045/x
  3. Step 3: Cross multiply
    10,440.36x = 15,660.57 × 3,045
  4. Step 4: Simplify right side
    10,440.36x = 47,686,435.65
  5. Step 5: Solve for x
    x = 47,686,435.65/10,440.36
  6. Step 6: Final answer
    x = 4,567.51

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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.