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Finding the Fourth Proportional to 10,922.56, 15,068.38 and 6,941.54

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Solution

The fourth proportional to 10,922.56, 15,068.38 and 6,941.54 is: 9,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.56 : 15,068.38 = 6,941.54 : x
  2. Step 2: Convert to fraction form
    10,922.56/15,068.38 = 6,941.54/x
  3. Step 3: Cross multiply
    10,922.56x = 15,068.38 × 6,941.54
  4. Step 4: Simplify right side
    10,922.56x = 104,597,762.51
  5. Step 5: Solve for x
    x = 104,597,762.51/10,922.56
  6. Step 6: Final answer
    x = 9,576.30

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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.