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Finding the Fourth Proportional to 12,565.39, 17,340.30 and 7,852.39

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Solution

The fourth proportional to 12,565.39, 17,340.30 and 7,852.39 is: 10,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.39 : 17,340.30 = 7,852.39 : x
  2. Step 2: Convert to fraction form
    12,565.39/17,340.30 = 7,852.39/x
  3. Step 3: Cross multiply
    12,565.39x = 17,340.30 × 7,852.39
  4. Step 4: Simplify right side
    12,565.39x = 136,162,798.32
  5. Step 5: Solve for x
    x = 136,162,798.32/12,565.39
  6. Step 6: Final answer
    x = 10,836.34

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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.