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Finding the Fourth Proportional to 10,968.54, 15,120.84 and 7,819.26

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Solution

The fourth proportional to 10,968.54, 15,120.84 and 7,819.26 is: 10,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.54 : 15,120.84 = 7,819.26 : x
  2. Step 2: Convert to fraction form
    10,968.54/15,120.84 = 7,819.26/x
  3. Step 3: Cross multiply
    10,968.54x = 15,120.84 × 7,819.26
  4. Step 4: Simplify right side
    10,968.54x = 118,233,779.38
  5. Step 5: Solve for x
    x = 118,233,779.38/10,968.54
  6. Step 6: Final answer
    x = 10,779.35

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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.