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Finding the Fourth Proportional to 6,905.68, 10,355.10 and 5,586.16

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Solution

The fourth proportional to 6,905.68, 10,355.10 and 5,586.16 is: 8,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.68 : 10,355.10 = 5,586.16 : x
  2. Step 2: Convert to fraction form
    6,905.68/10,355.10 = 5,586.16/x
  3. Step 3: Cross multiply
    6,905.68x = 10,355.10 × 5,586.16
  4. Step 4: Simplify right side
    6,905.68x = 57,845,245.42
  5. Step 5: Solve for x
    x = 57,845,245.42/6,905.68
  6. Step 6: Final answer
    x = 8,376.47

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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.