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Finding the Fourth Proportional to 7,774.43, 10,732.31 and 4,586.64

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Solution

The fourth proportional to 7,774.43, 10,732.31 and 4,586.64 is: 6,331.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.43 : 10,732.31 = 4,586.64 : x
  2. Step 2: Convert to fraction form
    7,774.43/10,732.31 = 4,586.64/x
  3. Step 3: Cross multiply
    7,774.43x = 10,732.31 × 4,586.64
  4. Step 4: Simplify right side
    7,774.43x = 49,225,219.41
  5. Step 5: Solve for x
    x = 49,225,219.41/7,774.43
  6. Step 6: Final answer
    x = 6,331.69

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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.