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Finding the Fourth Proportional to 12,871.07, 17,763.58 and 7,838.24

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Solution

The fourth proportional to 12,871.07, 17,763.58 and 7,838.24 is: 10,817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.07 : 17,763.58 = 7,838.24 : x
  2. Step 2: Convert to fraction form
    12,871.07/17,763.58 = 7,838.24/x
  3. Step 3: Cross multiply
    12,871.07x = 17,763.58 × 7,838.24
  4. Step 4: Simplify right side
    12,871.07x = 139,235,228.11
  5. Step 5: Solve for x
    x = 139,235,228.11/12,871.07
  6. Step 6: Final answer
    x = 10,817.69

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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.