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Finding the Fourth Proportional to 7,885.68, 11,819.32 and 5,931.60

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Solution

The fourth proportional to 7,885.68, 11,819.32 and 5,931.60 is: 8,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.68 : 11,819.32 = 5,931.60 : x
  2. Step 2: Convert to fraction form
    7,885.68/11,819.32 = 5,931.60/x
  3. Step 3: Cross multiply
    7,885.68x = 11,819.32 × 5,931.60
  4. Step 4: Simplify right side
    7,885.68x = 70,107,478.51
  5. Step 5: Solve for x
    x = 70,107,478.51/7,885.68
  6. Step 6: Final answer
    x = 8,890.48

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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.