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Finding the Fourth Proportional to 8,490.48, 12,648.18 and 8,232.54

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Solution

The fourth proportional to 8,490.48, 12,648.18 and 8,232.54 is: 12,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.48 : 12,648.18 = 8,232.54 : x
  2. Step 2: Convert to fraction form
    8,490.48/12,648.18 = 8,232.54/x
  3. Step 3: Cross multiply
    8,490.48x = 12,648.18 × 8,232.54
  4. Step 4: Simplify right side
    8,490.48x = 104,126,647.78
  5. Step 5: Solve for x
    x = 104,126,647.78/8,490.48
  6. Step 6: Final answer
    x = 12,263.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.