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Finding the Fourth Proportional to 8,670, 13,004.16 and 3,988.08

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Solution

The fourth proportional to 8,670, 13,004.16 and 3,988.08 is: 5,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670 : 13,004.16 = 3,988.08 : x
  2. Step 2: Convert to fraction form
    8,670/13,004.16 = 3,988.08/x
  3. Step 3: Cross multiply
    8,670x = 13,004.16 × 3,988.08
  4. Step 4: Simplify right side
    8,670x = 51,861,630.41
  5. Step 5: Solve for x
    x = 51,861,630.41/8,670
  6. Step 6: Final answer
    x = 5,981.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.