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Finding the Fourth Proportional to 11,915.70, 16,442.46 and 6,881.52

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Solution

The fourth proportional to 11,915.70, 16,442.46 and 6,881.52 is: 9,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.70 : 16,442.46 = 6,881.52 : x
  2. Step 2: Convert to fraction form
    11,915.70/16,442.46 = 6,881.52/x
  3. Step 3: Cross multiply
    11,915.70x = 16,442.46 × 6,881.52
  4. Step 4: Simplify right side
    11,915.70x = 113,149,117.34
  5. Step 5: Solve for x
    x = 113,149,117.34/11,915.70
  6. Step 6: Final answer
    x = 9,495.80

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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.