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Finding the Fourth Proportional to 8,130.29, 11,220.47 and 4,594.17

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Solution

The fourth proportional to 8,130.29, 11,220.47 and 4,594.17 is: 6,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.29 : 11,220.47 = 4,594.17 : x
  2. Step 2: Convert to fraction form
    8,130.29/11,220.47 = 4,594.17/x
  3. Step 3: Cross multiply
    8,130.29x = 11,220.47 × 4,594.17
  4. Step 4: Simplify right side
    8,130.29x = 51,548,723.69
  5. Step 5: Solve for x
    x = 51,548,723.69/8,130.29
  6. Step 6: Final answer
    x = 6,340.33

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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.