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Finding the Fourth Proportional to 10,078.56, 15,095.97 and 4,873.50

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Solution

The fourth proportional to 10,078.56, 15,095.97 and 4,873.50 is: 7,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.56 : 15,095.97 = 4,873.50 : x
  2. Step 2: Convert to fraction form
    10,078.56/15,095.97 = 4,873.50/x
  3. Step 3: Cross multiply
    10,078.56x = 15,095.97 × 4,873.50
  4. Step 4: Simplify right side
    10,078.56x = 73,570,209.80
  5. Step 5: Solve for x
    x = 73,570,209.80/10,078.56
  6. Step 6: Final answer
    x = 7,299.67

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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.