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Finding the Fourth Proportional to 11,078.34, 16,617.51 and 4,503

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Solution

The fourth proportional to 11,078.34, 16,617.51 and 4,503 is: 6,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078.34 : 16,617.51 = 4,503 : x
  2. Step 2: Convert to fraction form
    11,078.34/16,617.51 = 4,503/x
  3. Step 3: Cross multiply
    11,078.34x = 16,617.51 × 4,503
  4. Step 4: Simplify right side
    11,078.34x = 74,828,647.53
  5. Step 5: Solve for x
    x = 74,828,647.53/11,078.34
  6. Step 6: Final answer
    x = 6,754.50

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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.