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Finding the Fourth Proportional to 7,885.86, 10,898.16 and 6,467.34

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Solution

The fourth proportional to 7,885.86, 10,898.16 and 6,467.34 is: 8,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.86 : 10,898.16 = 6,467.34 : x
  2. Step 2: Convert to fraction form
    7,885.86/10,898.16 = 6,467.34/x
  3. Step 3: Cross multiply
    7,885.86x = 10,898.16 × 6,467.34
  4. Step 4: Simplify right side
    7,885.86x = 70,482,106.09
  5. Step 5: Solve for x
    x = 70,482,106.09/7,885.86
  6. Step 6: Final answer
    x = 8,937.78

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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.