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Finding the Fourth Proportional to 8,130.92, 11,220.92 and 4,594.35

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Solution

The fourth proportional to 8,130.92, 11,220.92 and 4,594.35 is: 6,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.92 : 11,220.92 = 4,594.35 : x
  2. Step 2: Convert to fraction form
    8,130.92/11,220.92 = 4,594.35/x
  3. Step 3: Cross multiply
    8,130.92x = 11,220.92 × 4,594.35
  4. Step 4: Simplify right side
    8,130.92x = 51,552,810.83
  5. Step 5: Solve for x
    x = 51,552,810.83/8,130.92
  6. Step 6: Final answer
    x = 6,340.35

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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.