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Finding the Fourth Proportional to 11,038.71, 16,552.86 and 4,013.78

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Solution

The fourth proportional to 11,038.71, 16,552.86 and 4,013.78 is: 6,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.71 : 16,552.86 = 4,013.78 : x
  2. Step 2: Convert to fraction form
    11,038.71/16,552.86 = 4,013.78/x
  3. Step 3: Cross multiply
    11,038.71x = 16,552.86 × 4,013.78
  4. Step 4: Simplify right side
    11,038.71x = 66,439,455.65
  5. Step 5: Solve for x
    x = 66,439,455.65/11,038.71
  6. Step 6: Final answer
    x = 6,018.77

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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.