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Finding the Fourth Proportional to 11,877.34, 16,403.70 and 7,915.27

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Solution

The fourth proportional to 11,877.34, 16,403.70 and 7,915.27 is: 10,931.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.34 : 16,403.70 = 7,915.27 : x
  2. Step 2: Convert to fraction form
    11,877.34/16,403.70 = 7,915.27/x
  3. Step 3: Cross multiply
    11,877.34x = 16,403.70 × 7,915.27
  4. Step 4: Simplify right side
    11,877.34x = 129,839,714.50
  5. Step 5: Solve for x
    x = 129,839,714.50/11,877.34
  6. Step 6: Final answer
    x = 10,931.72

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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.