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Finding the Fourth Proportional to 8,438.40, 11,648.96 and 6,290.32

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Solution

The fourth proportional to 8,438.40, 11,648.96 and 6,290.32 is: 8,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.40 : 11,648.96 = 6,290.32 : x
  2. Step 2: Convert to fraction form
    8,438.40/11,648.96 = 6,290.32/x
  3. Step 3: Cross multiply
    8,438.40x = 11,648.96 × 6,290.32
  4. Step 4: Simplify right side
    8,438.40x = 73,275,686.07
  5. Step 5: Solve for x
    x = 73,275,686.07/8,438.40
  6. Step 6: Final answer
    x = 8,683.60

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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.