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Finding the Fourth Proportional to 8,307.78, 12,447.56 and 5,013.96

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Solution

The fourth proportional to 8,307.78, 12,447.56 and 5,013.96 is: 7,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.78 : 12,447.56 = 5,013.96 : x
  2. Step 2: Convert to fraction form
    8,307.78/12,447.56 = 5,013.96/x
  3. Step 3: Cross multiply
    8,307.78x = 12,447.56 × 5,013.96
  4. Step 4: Simplify right side
    8,307.78x = 62,411,567.94
  5. Step 5: Solve for x
    x = 62,411,567.94/8,307.78
  6. Step 6: Final answer
    x = 7,512.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.