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Finding the Fourth Proportional to 10,690.46, 16,038.94 and 7,576.49

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Solution

The fourth proportional to 10,690.46, 16,038.94 and 7,576.49 is: 11,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.46 : 16,038.94 = 7,576.49 : x
  2. Step 2: Convert to fraction form
    10,690.46/16,038.94 = 7,576.49/x
  3. Step 3: Cross multiply
    10,690.46x = 16,038.94 × 7,576.49
  4. Step 4: Simplify right side
    10,690.46x = 121,518,868.52
  5. Step 5: Solve for x
    x = 121,518,868.52/10,690.46
  6. Step 6: Final answer
    x = 11,367.04

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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.