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Finding the Fourth Proportional to 12,612.31, 17,405.38 and 7,578.77

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Solution

The fourth proportional to 12,612.31, 17,405.38 and 7,578.77 is: 10,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,612.31 : 17,405.38 = 7,578.77 : x
  2. Step 2: Convert to fraction form
    12,612.31/17,405.38 = 7,578.77/x
  3. Step 3: Cross multiply
    12,612.31x = 17,405.38 × 7,578.77
  4. Step 4: Simplify right side
    12,612.31x = 131,911,294.23
  5. Step 5: Solve for x
    x = 131,911,294.23/12,612.31
  6. Step 6: Final answer
    x = 10,458.93

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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.