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Finding the Fourth Proportional to 10,295.60, 15,443.22 and 2,504.48

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Solution

The fourth proportional to 10,295.60, 15,443.22 and 2,504.48 is: 3,756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.60 : 15,443.22 = 2,504.48 : x
  2. Step 2: Convert to fraction form
    10,295.60/15,443.22 = 2,504.48/x
  3. Step 3: Cross multiply
    10,295.60x = 15,443.22 × 2,504.48
  4. Step 4: Simplify right side
    10,295.60x = 38,677,184.50
  5. Step 5: Solve for x
    x = 38,677,184.50/10,295.60
  6. Step 6: Final answer
    x = 3,756.67

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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.