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Finding the Fourth Proportional to 10,953.49, 16,435.42 and 5,685.70

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Solution

The fourth proportional to 10,953.49, 16,435.42 and 5,685.70 is: 8,531.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.49 : 16,435.42 = 5,685.70 : x
  2. Step 2: Convert to fraction form
    10,953.49/16,435.42 = 5,685.70/x
  3. Step 3: Cross multiply
    10,953.49x = 16,435.42 × 5,685.70
  4. Step 4: Simplify right side
    10,953.49x = 93,446,839.07
  5. Step 5: Solve for x
    x = 93,446,839.07/10,953.49
  6. Step 6: Final answer
    x = 8,531.24

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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.