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Finding the Fourth Proportional to 11,638.52, 16,062.54 and 6,925.40

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Solution

The fourth proportional to 11,638.52, 16,062.54 and 6,925.40 is: 9,557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.52 : 16,062.54 = 6,925.40 : x
  2. Step 2: Convert to fraction form
    11,638.52/16,062.54 = 6,925.40/x
  3. Step 3: Cross multiply
    11,638.52x = 16,062.54 × 6,925.40
  4. Step 4: Simplify right side
    11,638.52x = 111,239,514.52
  5. Step 5: Solve for x
    x = 111,239,514.52/11,638.52
  6. Step 6: Final answer
    x = 9,557.87

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