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Finding the Fourth Proportional to 11,813.50, 17,720.18 and 3,048.40

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Solution

The fourth proportional to 11,813.50, 17,720.18 and 3,048.40 is: 4,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.50 : 17,720.18 = 3,048.40 : x
  2. Step 2: Convert to fraction form
    11,813.50/17,720.18 = 3,048.40/x
  3. Step 3: Cross multiply
    11,813.50x = 17,720.18 × 3,048.40
  4. Step 4: Simplify right side
    11,813.50x = 54,018,196.71
  5. Step 5: Solve for x
    x = 54,018,196.71/11,813.50
  6. Step 6: Final answer
    x = 4,572.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.