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Finding the Fourth Proportional to 11,915.64, 16,444.32 and 6,880.80

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Solution

The fourth proportional to 11,915.64, 16,444.32 and 6,880.80 is: 9,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.64 : 16,444.32 = 6,880.80 : x
  2. Step 2: Convert to fraction form
    11,915.64/16,444.32 = 6,880.80/x
  3. Step 3: Cross multiply
    11,915.64x = 16,444.32 × 6,880.80
  4. Step 4: Simplify right side
    11,915.64x = 113,150,077.06
  5. Step 5: Solve for x
    x = 113,150,077.06/11,915.64
  6. Step 6: Final answer
    x = 9,495.93

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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.