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Finding the Fourth Proportional to 12,038.01, 16,612.74 and 6,732.78

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Solution

The fourth proportional to 12,038.01, 16,612.74 and 6,732.78 is: 9,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.01 : 16,612.74 = 6,732.78 : x
  2. Step 2: Convert to fraction form
    12,038.01/16,612.74 = 6,732.78/x
  3. Step 3: Cross multiply
    12,038.01x = 16,612.74 × 6,732.78
  4. Step 4: Simplify right side
    12,038.01x = 111,849,923.62
  5. Step 5: Solve for x
    x = 111,849,923.62/12,038.01
  6. Step 6: Final answer
    x = 9,291.40

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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.