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Finding the Fourth Proportional to 11,981.51, 17,980.01 and 5,407.34

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Solution

The fourth proportional to 11,981.51, 17,980.01 and 5,407.34 is: 8,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.51 : 17,980.01 = 5,407.34 : x
  2. Step 2: Convert to fraction form
    11,981.51/17,980.01 = 5,407.34/x
  3. Step 3: Cross multiply
    11,981.51x = 17,980.01 × 5,407.34
  4. Step 4: Simplify right side
    11,981.51x = 97,223,910.34
  5. Step 5: Solve for x
    x = 97,223,910.34/11,981.51
  6. Step 6: Final answer
    x = 8,114.50

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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.