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Finding the Fourth Proportional to 10,250.71, 15,378.22 and 5,810.50

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Solution

The fourth proportional to 10,250.71, 15,378.22 and 5,810.50 is: 8,716.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.71 : 15,378.22 = 5,810.50 : x
  2. Step 2: Convert to fraction form
    10,250.71/15,378.22 = 5,810.50/x
  3. Step 3: Cross multiply
    10,250.71x = 15,378.22 × 5,810.50
  4. Step 4: Simplify right side
    10,250.71x = 89,355,094.34
  5. Step 5: Solve for x
    x = 89,355,094.34/10,250.71
  6. Step 6: Final answer
    x = 8,716.97

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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.