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Finding the Fourth Proportional to 10,522.88, 15,787.44 and 3,503.80

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Solution

The fourth proportional to 10,522.88, 15,787.44 and 3,503.80 is: 5,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.88 : 15,787.44 = 3,503.80 : x
  2. Step 2: Convert to fraction form
    10,522.88/15,787.44 = 3,503.80/x
  3. Step 3: Cross multiply
    10,522.88x = 15,787.44 × 3,503.80
  4. Step 4: Simplify right side
    10,522.88x = 55,316,032.27
  5. Step 5: Solve for x
    x = 55,316,032.27/10,522.88
  6. Step 6: Final answer
    x = 5,256.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.