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Finding the Fourth Proportional to 12,108, 16,710.48 and 7,925.52

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Solution

The fourth proportional to 12,108, 16,710.48 and 7,925.52 is: 10,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,108 : 16,710.48 = 7,925.52 : x
  2. Step 2: Convert to fraction form
    12,108/16,710.48 = 7,925.52/x
  3. Step 3: Cross multiply
    12,108x = 16,710.48 × 7,925.52
  4. Step 4: Simplify right side
    12,108x = 132,439,243.45
  5. Step 5: Solve for x
    x = 132,439,243.45/12,108
  6. Step 6: Final answer
    x = 10,938.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.