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Finding the Fourth Proportional to 8,341.92, 11,502.64 and 5,684

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Solution

The fourth proportional to 8,341.92, 11,502.64 and 5,684 is: 7,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,341.92 : 11,502.64 = 5,684 : x
  2. Step 2: Convert to fraction form
    8,341.92/11,502.64 = 5,684/x
  3. Step 3: Cross multiply
    8,341.92x = 11,502.64 × 5,684
  4. Step 4: Simplify right side
    8,341.92x = 65,381,005.76
  5. Step 5: Solve for x
    x = 65,381,005.76/8,341.92
  6. Step 6: Final answer
    x = 7,837.64

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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.