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Finding the Fourth Proportional to 8,416.64, 11,615.06 and 4,639.95

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Solution

The fourth proportional to 8,416.64, 11,615.06 and 4,639.95 is: 6,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.64 : 11,615.06 = 4,639.95 : x
  2. Step 2: Convert to fraction form
    8,416.64/11,615.06 = 4,639.95/x
  3. Step 3: Cross multiply
    8,416.64x = 11,615.06 × 4,639.95
  4. Step 4: Simplify right side
    8,416.64x = 53,893,309.25
  5. Step 5: Solve for x
    x = 53,893,309.25/8,416.64
  6. Step 6: Final answer
    x = 6,403.18

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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.