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Finding the Fourth Proportional to 8,292.78, 11,428.29 and 5,930.82

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Solution

The fourth proportional to 8,292.78, 11,428.29 and 5,930.82 is: 8,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.78 : 11,428.29 = 5,930.82 : x
  2. Step 2: Convert to fraction form
    8,292.78/11,428.29 = 5,930.82/x
  3. Step 3: Cross multiply
    8,292.78x = 11,428.29 × 5,930.82
  4. Step 4: Simplify right side
    8,292.78x = 67,779,130.90
  5. Step 5: Solve for x
    x = 67,779,130.90/8,292.78
  6. Step 6: Final answer
    x = 8,173.27

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