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Finding the Fourth Proportional to 10,920.06, 15,071.40 and 6,942.96

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Solution

The fourth proportional to 10,920.06, 15,071.40 and 6,942.96 is: 9,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.06 : 15,071.40 = 6,942.96 : x
  2. Step 2: Convert to fraction form
    10,920.06/15,071.40 = 6,942.96/x
  3. Step 3: Cross multiply
    10,920.06x = 15,071.40 × 6,942.96
  4. Step 4: Simplify right side
    10,920.06x = 104,640,127.34
  5. Step 5: Solve for x
    x = 104,640,127.34/10,920.06
  6. Step 6: Final answer
    x = 9,582.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.