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Finding the Fourth Proportional to 12,833.46, 17,710.31 and 7,528.36

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Solution

The fourth proportional to 12,833.46, 17,710.31 and 7,528.36 is: 10,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.46 : 17,710.31 = 7,528.36 : x
  2. Step 2: Convert to fraction form
    12,833.46/17,710.31 = 7,528.36/x
  3. Step 3: Cross multiply
    12,833.46x = 17,710.31 × 7,528.36
  4. Step 4: Simplify right side
    12,833.46x = 133,329,589.39
  5. Step 5: Solve for x
    x = 133,329,589.39/12,833.46
  6. Step 6: Final answer
    x = 10,389.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.