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Finding the Fourth Proportional to 11,653.60, 16,078.80 and 7,458.40

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Solution

The fourth proportional to 11,653.60, 16,078.80 and 7,458.40 is: 10,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.60 : 16,078.80 = 7,458.40 : x
  2. Step 2: Convert to fraction form
    11,653.60/16,078.80 = 7,458.40/x
  3. Step 3: Cross multiply
    11,653.60x = 16,078.80 × 7,458.40
  4. Step 4: Simplify right side
    11,653.60x = 119,922,121.92
  5. Step 5: Solve for x
    x = 119,922,121.92/11,653.60
  6. Step 6: Final answer
    x = 10,290.56

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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.