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Finding the Fourth Proportional to 7,283.31, 10,922.28 and 2,602.08

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Solution

The fourth proportional to 7,283.31, 10,922.28 and 2,602.08 is: 3,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283.31 : 10,922.28 = 2,602.08 : x
  2. Step 2: Convert to fraction form
    7,283.31/10,922.28 = 2,602.08/x
  3. Step 3: Cross multiply
    7,283.31x = 10,922.28 × 2,602.08
  4. Step 4: Simplify right side
    7,283.31x = 28,420,646.34
  5. Step 5: Solve for x
    x = 28,420,646.34/7,283.31
  6. Step 6: Final answer
    x = 3,902.16

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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.