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Finding the Fourth Proportional to 12,574.92, 17,346 and 7,851

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Solution

The fourth proportional to 12,574.92, 17,346 and 7,851 is: 10,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.92 : 17,346 = 7,851 : x
  2. Step 2: Convert to fraction form
    12,574.92/17,346 = 7,851/x
  3. Step 3: Cross multiply
    12,574.92x = 17,346 × 7,851
  4. Step 4: Simplify right side
    12,574.92x = 136,183,446
  5. Step 5: Solve for x
    x = 136,183,446/12,574.92
  6. Step 6: Final answer
    x = 10,829.77

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