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Finding the Fourth Proportional to 10,813.99, 16,113.49 and 9,634.94

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Solution

The fourth proportional to 10,813.99, 16,113.49 and 9,634.94 is: 14,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.99 : 16,113.49 = 9,634.94 : x
  2. Step 2: Convert to fraction form
    10,813.99/16,113.49 = 9,634.94/x
  3. Step 3: Cross multiply
    10,813.99x = 16,113.49 × 9,634.94
  4. Step 4: Simplify right side
    10,813.99x = 155,252,509.34
  5. Step 5: Solve for x
    x = 155,252,509.34/10,813.99
  6. Step 6: Final answer
    x = 14,356.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.