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Finding the Fourth Proportional to 8,343.64, 12,515.45 and 5,057.67

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Solution

The fourth proportional to 8,343.64, 12,515.45 and 5,057.67 is: 7,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.64 : 12,515.45 = 5,057.67 : x
  2. Step 2: Convert to fraction form
    8,343.64/12,515.45 = 5,057.67/x
  3. Step 3: Cross multiply
    8,343.64x = 12,515.45 × 5,057.67
  4. Step 4: Simplify right side
    8,343.64x = 63,299,016.00
  5. Step 5: Solve for x
    x = 63,299,016.00/8,343.64
  6. Step 6: Final answer
    x = 7,586.50

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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.