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Finding the Fourth Proportional to 11,496.87, 15,862.41 and 6,460.56

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Solution

The fourth proportional to 11,496.87, 15,862.41 and 6,460.56 is: 8,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.87 : 15,862.41 = 6,460.56 : x
  2. Step 2: Convert to fraction form
    11,496.87/15,862.41 = 6,460.56/x
  3. Step 3: Cross multiply
    11,496.87x = 15,862.41 × 6,460.56
  4. Step 4: Simplify right side
    11,496.87x = 102,480,051.55
  5. Step 5: Solve for x
    x = 102,480,051.55/11,496.87
  6. Step 6: Final answer
    x = 8,913.73

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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.