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Finding the Fourth Proportional to 10,870.94, 16,282.96 and 7,341.57

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Solution

The fourth proportional to 10,870.94, 16,282.96 and 7,341.57 is: 10,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.94 : 16,282.96 = 7,341.57 : x
  2. Step 2: Convert to fraction form
    10,870.94/16,282.96 = 7,341.57/x
  3. Step 3: Cross multiply
    10,870.94x = 16,282.96 × 7,341.57
  4. Step 4: Simplify right side
    10,870.94x = 119,542,472.29
  5. Step 5: Solve for x
    x = 119,542,472.29/10,870.94
  6. Step 6: Final answer
    x = 10,996.51

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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.