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Finding the Fourth Proportional to 8,838.14, 13,256.78 and 2,597.90

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Solution

The fourth proportional to 8,838.14, 13,256.78 and 2,597.90 is: 3,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.14 : 13,256.78 = 2,597.90 : x
  2. Step 2: Convert to fraction form
    8,838.14/13,256.78 = 2,597.90/x
  3. Step 3: Cross multiply
    8,838.14x = 13,256.78 × 2,597.90
  4. Step 4: Simplify right side
    8,838.14x = 34,439,788.76
  5. Step 5: Solve for x
    x = 34,439,788.76/8,838.14
  6. Step 6: Final answer
    x = 3,896.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.