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Finding the Fourth Proportional to 10,415.50, 15,624.88 and 3,393.86

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Solution

The fourth proportional to 10,415.50, 15,624.88 and 3,393.86 is: 5,091.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.50 : 15,624.88 = 3,393.86 : x
  2. Step 2: Convert to fraction form
    10,415.50/15,624.88 = 3,393.86/x
  3. Step 3: Cross multiply
    10,415.50x = 15,624.88 × 3,393.86
  4. Step 4: Simplify right side
    10,415.50x = 53,028,655.24
  5. Step 5: Solve for x
    x = 53,028,655.24/10,415.50
  6. Step 6: Final answer
    x = 5,091.32

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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.