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Finding the Fourth Proportional to 11,210.80, 16,815.59 and 3,419

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Solution

The fourth proportional to 11,210.80, 16,815.59 and 3,419 is: 5,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.80 : 16,815.59 = 3,419 : x
  2. Step 2: Convert to fraction form
    11,210.80/16,815.59 = 3,419/x
  3. Step 3: Cross multiply
    11,210.80x = 16,815.59 × 3,419
  4. Step 4: Simplify right side
    11,210.80x = 57,492,502.21
  5. Step 5: Solve for x
    x = 57,492,502.21/11,210.80
  6. Step 6: Final answer
    x = 5,128.31

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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.