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Finding the Fourth Proportional to 10,503, 14,494.14 and 5,787.32

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Solution

The fourth proportional to 10,503, 14,494.14 and 5,787.32 is: 7,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503 : 14,494.14 = 5,787.32 : x
  2. Step 2: Convert to fraction form
    10,503/14,494.14 = 5,787.32/x
  3. Step 3: Cross multiply
    10,503x = 14,494.14 × 5,787.32
  4. Step 4: Simplify right side
    10,503x = 83,882,153.83
  5. Step 5: Solve for x
    x = 83,882,153.83/10,503
  6. Step 6: Final answer
    x = 7,986.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.