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Finding the Fourth Proportional to 10,273.08, 15,411.20 and 4,350

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Solution

The fourth proportional to 10,273.08, 15,411.20 and 4,350 is: 6,525.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273.08 : 15,411.20 = 4,350 : x
  2. Step 2: Convert to fraction form
    10,273.08/15,411.20 = 4,350/x
  3. Step 3: Cross multiply
    10,273.08x = 15,411.20 × 4,350
  4. Step 4: Simplify right side
    10,273.08x = 67,038,698.25
  5. Step 5: Solve for x
    x = 67,038,698.25/10,273.08
  6. Step 6: Final answer
    x = 6,525.67

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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.