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Finding the Fourth Proportional to 8,026.85, 12,032.08 and 4,898.54

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Solution

The fourth proportional to 8,026.85, 12,032.08 and 4,898.54 is: 7,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.85 : 12,032.08 = 4,898.54 : x
  2. Step 2: Convert to fraction form
    8,026.85/12,032.08 = 4,898.54/x
  3. Step 3: Cross multiply
    8,026.85x = 12,032.08 × 4,898.54
  4. Step 4: Simplify right side
    8,026.85x = 58,939,643.00
  5. Step 5: Solve for x
    x = 58,939,643.00/8,026.85
  6. Step 6: Final answer
    x = 7,342.81

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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.