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Finding the Fourth Proportional to 8,340.92, 11,510.38 and 4,564.16

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Solution

The fourth proportional to 8,340.92, 11,510.38 and 4,564.16 is: 6,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.92 : 11,510.38 = 4,564.16 : x
  2. Step 2: Convert to fraction form
    8,340.92/11,510.38 = 4,564.16/x
  3. Step 3: Cross multiply
    8,340.92x = 11,510.38 × 4,564.16
  4. Step 4: Simplify right side
    8,340.92x = 52,535,215.98
  5. Step 5: Solve for x
    x = 52,535,215.98/8,340.92
  6. Step 6: Final answer
    x = 6,298.49

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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.