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Finding the Fourth Proportional to 10,382.86, 15,574.29 and 2,591.67

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Solution

The fourth proportional to 10,382.86, 15,574.29 and 2,591.67 is: 3,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.86 : 15,574.29 = 2,591.67 : x
  2. Step 2: Convert to fraction form
    10,382.86/15,574.29 = 2,591.67/x
  3. Step 3: Cross multiply
    10,382.86x = 15,574.29 × 2,591.67
  4. Step 4: Simplify right side
    10,382.86x = 40,363,420.16
  5. Step 5: Solve for x
    x = 40,363,420.16/10,382.86
  6. Step 6: Final answer
    x = 3,887.51

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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.