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Finding the Fourth Proportional to 7,411.54, 11,117.33 and 2,146.99

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Solution

The fourth proportional to 7,411.54, 11,117.33 and 2,146.99 is: 3,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.54 : 11,117.33 = 2,146.99 : x
  2. Step 2: Convert to fraction form
    7,411.54/11,117.33 = 2,146.99/x
  3. Step 3: Cross multiply
    7,411.54x = 11,117.33 × 2,146.99
  4. Step 4: Simplify right side
    7,411.54x = 23,868,796.34
  5. Step 5: Solve for x
    x = 23,868,796.34/7,411.54
  6. Step 6: Final answer
    x = 3,220.49

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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.