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Finding the Fourth Proportional to 10,354.14, 15,518.88 and 5,962.50

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Solution

The fourth proportional to 10,354.14, 15,518.88 and 5,962.50 is: 8,936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.14 : 15,518.88 = 5,962.50 : x
  2. Step 2: Convert to fraction form
    10,354.14/15,518.88 = 5,962.50/x
  3. Step 3: Cross multiply
    10,354.14x = 15,518.88 × 5,962.50
  4. Step 4: Simplify right side
    10,354.14x = 92,531,322
  5. Step 5: Solve for x
    x = 92,531,322/10,354.14
  6. Step 6: Final answer
    x = 8,936.65

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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.