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Finding the Fourth Proportional to 6,176.17, 8,524.97 and 5,345.79

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Solution

The fourth proportional to 6,176.17, 8,524.97 and 5,345.79 is: 7,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.17 : 8,524.97 = 5,345.79 : x
  2. Step 2: Convert to fraction form
    6,176.17/8,524.97 = 5,345.79/x
  3. Step 3: Cross multiply
    6,176.17x = 8,524.97 × 5,345.79
  4. Step 4: Simplify right side
    6,176.17x = 45,572,699.38
  5. Step 5: Solve for x
    x = 45,572,699.38/6,176.17
  6. Step 6: Final answer
    x = 7,378.80

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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.