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Finding the Fourth Proportional to 10,420.54, 15,624.64 and 4,183.50

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Solution

The fourth proportional to 10,420.54, 15,624.64 and 4,183.50 is: 6,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.54 : 15,624.64 = 4,183.50 : x
  2. Step 2: Convert to fraction form
    10,420.54/15,624.64 = 4,183.50/x
  3. Step 3: Cross multiply
    10,420.54x = 15,624.64 × 4,183.50
  4. Step 4: Simplify right side
    10,420.54x = 65,365,681.44
  5. Step 5: Solve for x
    x = 65,365,681.44/10,420.54
  6. Step 6: Final answer
    x = 6,272.77

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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.