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Finding the Fourth Proportional to 8,290.99, 12,438.54 and 3,907.42

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Solution

The fourth proportional to 8,290.99, 12,438.54 and 3,907.42 is: 5,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.99 : 12,438.54 = 3,907.42 : x
  2. Step 2: Convert to fraction form
    8,290.99/12,438.54 = 3,907.42/x
  3. Step 3: Cross multiply
    8,290.99x = 12,438.54 × 3,907.42
  4. Step 4: Simplify right side
    8,290.99x = 48,602,599.97
  5. Step 5: Solve for x
    x = 48,602,599.97/8,290.99
  6. Step 6: Final answer
    x = 5,862.10

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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.