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Finding the Fourth Proportional to 8,364.48, 11,541.10 and 5,676.08

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Solution

The fourth proportional to 8,364.48, 11,541.10 and 5,676.08 is: 7,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.48 : 11,541.10 = 5,676.08 : x
  2. Step 2: Convert to fraction form
    8,364.48/11,541.10 = 5,676.08/x
  3. Step 3: Cross multiply
    8,364.48x = 11,541.10 × 5,676.08
  4. Step 4: Simplify right side
    8,364.48x = 65,508,206.89
  5. Step 5: Solve for x
    x = 65,508,206.89/8,364.48
  6. Step 6: Final answer
    x = 7,831.71

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1.5x scale

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.