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Finding the Fourth Proportional to 8,526.87, 12,798 and 5,412.52

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Solution

The fourth proportional to 8,526.87, 12,798 and 5,412.52 is: 8,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.87 : 12,798 = 5,412.52 : x
  2. Step 2: Convert to fraction form
    8,526.87/12,798 = 5,412.52/x
  3. Step 3: Cross multiply
    8,526.87x = 12,798 × 5,412.52
  4. Step 4: Simplify right side
    8,526.87x = 69,269,446.96
  5. Step 5: Solve for x
    x = 69,269,446.96/8,526.87
  6. Step 6: Final answer
    x = 8,123.67

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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.