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Finding the Fourth Proportional to 10,730.95, 16,066.71 and 8,090.46

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Solution

The fourth proportional to 10,730.95, 16,066.71 and 8,090.46 is: 12,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.95 : 16,066.71 = 8,090.46 : x
  2. Step 2: Convert to fraction form
    10,730.95/16,066.71 = 8,090.46/x
  3. Step 3: Cross multiply
    10,730.95x = 16,066.71 × 8,090.46
  4. Step 4: Simplify right side
    10,730.95x = 129,987,074.59
  5. Step 5: Solve for x
    x = 129,987,074.59/10,730.95
  6. Step 6: Final answer
    x = 12,113.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.