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Finding the Fourth Proportional to 10,290.06, 14,200.22 and 5,815.26

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Solution

The fourth proportional to 10,290.06, 14,200.22 and 5,815.26 is: 8,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.06 : 14,200.22 = 5,815.26 : x
  2. Step 2: Convert to fraction form
    10,290.06/14,200.22 = 5,815.26/x
  3. Step 3: Cross multiply
    10,290.06x = 14,200.22 × 5,815.26
  4. Step 4: Simplify right side
    10,290.06x = 82,577,985.90
  5. Step 5: Solve for x
    x = 82,577,985.90/10,290.06
  6. Step 6: Final answer
    x = 8,025.02

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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.