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Finding the Fourth Proportional to 10,205.76, 14,085.90 and 6,625.20

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Solution

The fourth proportional to 10,205.76, 14,085.90 and 6,625.20 is: 9,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.76 : 14,085.90 = 6,625.20 : x
  2. Step 2: Convert to fraction form
    10,205.76/14,085.90 = 6,625.20/x
  3. Step 3: Cross multiply
    10,205.76x = 14,085.90 × 6,625.20
  4. Step 4: Simplify right side
    10,205.76x = 93,321,904.68
  5. Step 5: Solve for x
    x = 93,321,904.68/10,205.76
  6. Step 6: Final answer
    x = 9,144.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.