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Finding the Fourth Proportional to 10,573.60, 15,854.64 and 5,383.84

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Solution

The fourth proportional to 10,573.60, 15,854.64 and 5,383.84 is: 8,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.60 : 15,854.64 = 5,383.84 : x
  2. Step 2: Convert to fraction form
    10,573.60/15,854.64 = 5,383.84/x
  3. Step 3: Cross multiply
    10,573.60x = 15,854.64 × 5,383.84
  4. Step 4: Simplify right side
    10,573.60x = 85,358,845.02
  5. Step 5: Solve for x
    x = 85,358,845.02/10,573.60
  6. Step 6: Final answer
    x = 8,072.83

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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.