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Finding the Fourth Proportional to 8,307.31, 12,454.81 and 5,019.63

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Solution

The fourth proportional to 8,307.31, 12,454.81 and 5,019.63 is: 7,525.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.31 : 12,454.81 = 5,019.63 : x
  2. Step 2: Convert to fraction form
    8,307.31/12,454.81 = 5,019.63/x
  3. Step 3: Cross multiply
    8,307.31x = 12,454.81 × 5,019.63
  4. Step 4: Simplify right side
    8,307.31x = 62,518,537.92
  5. Step 5: Solve for x
    x = 62,518,537.92/8,307.31
  6. Step 6: Final answer
    x = 7,525.73

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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.