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Finding the Fourth Proportional to 8,158.08, 12,223.68 and 4,698.24

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Solution

The fourth proportional to 8,158.08, 12,223.68 and 4,698.24 is: 7,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.08 : 12,223.68 = 4,698.24 : x
  2. Step 2: Convert to fraction form
    8,158.08/12,223.68 = 4,698.24/x
  3. Step 3: Cross multiply
    8,158.08x = 12,223.68 × 4,698.24
  4. Step 4: Simplify right side
    8,158.08x = 57,429,782.32
  5. Step 5: Solve for x
    x = 57,429,782.32/8,158.08
  6. Step 6: Final answer
    x = 7,039.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.