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Finding the Fourth Proportional to 12,828.04, 17,698.01 and 7,521.83

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Solution

The fourth proportional to 12,828.04, 17,698.01 and 7,521.83 is: 10,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.04 : 17,698.01 = 7,521.83 : x
  2. Step 2: Convert to fraction form
    12,828.04/17,698.01 = 7,521.83/x
  3. Step 3: Cross multiply
    12,828.04x = 17,698.01 × 7,521.83
  4. Step 4: Simplify right side
    12,828.04x = 133,121,397.12
  5. Step 5: Solve for x
    x = 133,121,397.12/12,828.04
  6. Step 6: Final answer
    x = 10,377.38

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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.