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Finding the Fourth Proportional to 12,833.01, 17,710.38 and 7,525.89

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Solution

The fourth proportional to 12,833.01, 17,710.38 and 7,525.89 is: 10,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.01 : 17,710.38 = 7,525.89 : x
  2. Step 2: Convert to fraction form
    12,833.01/17,710.38 = 7,525.89/x
  3. Step 3: Cross multiply
    12,833.01x = 17,710.38 × 7,525.89
  4. Step 4: Simplify right side
    12,833.01x = 133,286,371.74
  5. Step 5: Solve for x
    x = 133,286,371.74/12,833.01
  6. Step 6: Final answer
    x = 10,386.21

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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.