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Finding the Fourth Proportional to 10,382.60, 15,573.91 and 2,591.42

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Solution

The fourth proportional to 10,382.60, 15,573.91 and 2,591.42 is: 3,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.60 : 15,573.91 = 2,591.42 : x
  2. Step 2: Convert to fraction form
    10,382.60/15,573.91 = 2,591.42/x
  3. Step 3: Cross multiply
    10,382.60x = 15,573.91 × 2,591.42
  4. Step 4: Simplify right side
    10,382.60x = 40,358,457.50
  5. Step 5: Solve for x
    x = 40,358,457.50/10,382.60
  6. Step 6: Final answer
    x = 3,887.12

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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.