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Finding the Fourth Proportional to 7,892.06, 10,890.63 and 4,532.49

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Solution

The fourth proportional to 7,892.06, 10,890.63 and 4,532.49 is: 6,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.06 : 10,890.63 = 4,532.49 : x
  2. Step 2: Convert to fraction form
    7,892.06/10,890.63 = 4,532.49/x
  3. Step 3: Cross multiply
    7,892.06x = 10,890.63 × 4,532.49
  4. Step 4: Simplify right side
    7,892.06x = 49,361,671.57
  5. Step 5: Solve for x
    x = 49,361,671.57/7,892.06
  6. Step 6: Final answer
    x = 6,254.60

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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.