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Finding the Fourth Proportional to 8,307.78, 11,458.26 and 5,323.90

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Solution

The fourth proportional to 8,307.78, 11,458.26 and 5,323.90 is: 7,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.78 : 11,458.26 = 5,323.90 : x
  2. Step 2: Convert to fraction form
    8,307.78/11,458.26 = 5,323.90/x
  3. Step 3: Cross multiply
    8,307.78x = 11,458.26 × 5,323.90
  4. Step 4: Simplify right side
    8,307.78x = 61,002,573.12
  5. Step 5: Solve for x
    x = 61,002,573.12/8,307.78
  6. Step 6: Final answer
    x = 7,342.82

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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.