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Finding the Fourth Proportional to 12,078.01, 16,668.08 and 7,041.38

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Solution

The fourth proportional to 12,078.01, 16,668.08 and 7,041.38 is: 9,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.01 : 16,668.08 = 7,041.38 : x
  2. Step 2: Convert to fraction form
    12,078.01/16,668.08 = 7,041.38/x
  3. Step 3: Cross multiply
    12,078.01x = 16,668.08 × 7,041.38
  4. Step 4: Simplify right side
    12,078.01x = 117,366,286.77
  5. Step 5: Solve for x
    x = 117,366,286.77/12,078.01
  6. Step 6: Final answer
    x = 9,717.35

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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.