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Finding the Fourth Proportional to 8,483.07, 12,732.84 and 5,202.57

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Solution

The fourth proportional to 8,483.07, 12,732.84 and 5,202.57 is: 7,808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.07 : 12,732.84 = 5,202.57 : x
  2. Step 2: Convert to fraction form
    8,483.07/12,732.84 = 5,202.57/x
  3. Step 3: Cross multiply
    8,483.07x = 12,732.84 × 5,202.57
  4. Step 4: Simplify right side
    8,483.07x = 66,243,491.40
  5. Step 5: Solve for x
    x = 66,243,491.40/8,483.07
  6. Step 6: Final answer
    x = 7,808.91

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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.