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Finding the Fourth Proportional to 7,869.60, 11,804.40 and 5,536.80

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Solution

The fourth proportional to 7,869.60, 11,804.40 and 5,536.80 is: 8,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.60 : 11,804.40 = 5,536.80 : x
  2. Step 2: Convert to fraction form
    7,869.60/11,804.40 = 5,536.80/x
  3. Step 3: Cross multiply
    7,869.60x = 11,804.40 × 5,536.80
  4. Step 4: Simplify right side
    7,869.60x = 65,358,601.92
  5. Step 5: Solve for x
    x = 65,358,601.92/7,869.60
  6. Step 6: Final answer
    x = 8,305.20

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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.