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Finding the Fourth Proportional to 8,416.25, 11,615.02 and 4,639.88

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Solution

The fourth proportional to 8,416.25, 11,615.02 and 4,639.88 is: 6,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.25 : 11,615.02 = 4,639.88 : x
  2. Step 2: Convert to fraction form
    8,416.25/11,615.02 = 4,639.88/x
  3. Step 3: Cross multiply
    8,416.25x = 11,615.02 × 4,639.88
  4. Step 4: Simplify right side
    8,416.25x = 53,892,329.49
  5. Step 5: Solve for x
    x = 53,892,329.49/8,416.25
  6. Step 6: Final answer
    x = 6,403.36

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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.