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Finding the Fourth Proportional to 11,122.49, 16,683.15 and 2,802.50

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Solution

The fourth proportional to 11,122.49, 16,683.15 and 2,802.50 is: 4,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.49 : 16,683.15 = 2,802.50 : x
  2. Step 2: Convert to fraction form
    11,122.49/16,683.15 = 2,802.50/x
  3. Step 3: Cross multiply
    11,122.49x = 16,683.15 × 2,802.50
  4. Step 4: Simplify right side
    11,122.49x = 46,754,527.88
  5. Step 5: Solve for x
    x = 46,754,527.88/11,122.49
  6. Step 6: Final answer
    x = 4,203.60

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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.