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Finding the Fourth Proportional to 11,146.87, 15,374.61 and 9,465.61

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Solution

The fourth proportional to 11,146.87, 15,374.61 and 9,465.61 is: 13,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.87 : 15,374.61 = 9,465.61 : x
  2. Step 2: Convert to fraction form
    11,146.87/15,374.61 = 9,465.61/x
  3. Step 3: Cross multiply
    11,146.87x = 15,374.61 × 9,465.61
  4. Step 4: Simplify right side
    11,146.87x = 145,530,052.55
  5. Step 5: Solve for x
    x = 145,530,052.55/11,146.87
  6. Step 6: Final answer
    x = 13,055.69

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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.