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Finding the Fourth Proportional to 8,319, 11,475.36 and 5,176.20

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Solution

The fourth proportional to 8,319, 11,475.36 and 5,176.20 is: 7,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319 : 11,475.36 = 5,176.20 : x
  2. Step 2: Convert to fraction form
    8,319/11,475.36 = 5,176.20/x
  3. Step 3: Cross multiply
    8,319x = 11,475.36 × 5,176.20
  4. Step 4: Simplify right side
    8,319x = 59,398,758.43
  5. Step 5: Solve for x
    x = 59,398,758.43/8,319
  6. Step 6: Final answer
    x = 7,140.13

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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.