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Finding the Fourth Proportional to 10,690.38, 16,030.71 and 3,293.46

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Solution

The fourth proportional to 10,690.38, 16,030.71 and 3,293.46 is: 4,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.38 : 16,030.71 = 3,293.46 : x
  2. Step 2: Convert to fraction form
    10,690.38/16,030.71 = 3,293.46/x
  3. Step 3: Cross multiply
    10,690.38x = 16,030.71 × 3,293.46
  4. Step 4: Simplify right side
    10,690.38x = 52,796,502.16
  5. Step 5: Solve for x
    x = 52,796,502.16/10,690.38
  6. Step 6: Final answer
    x = 4,938.69

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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.