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Finding the Fourth Proportional to 10,406.84, 14,361.72 and 6,217.52

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Solution

The fourth proportional to 10,406.84, 14,361.72 and 6,217.52 is: 8,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.84 : 14,361.72 = 6,217.52 : x
  2. Step 2: Convert to fraction form
    10,406.84/14,361.72 = 6,217.52/x
  3. Step 3: Cross multiply
    10,406.84x = 14,361.72 × 6,217.52
  4. Step 4: Simplify right side
    10,406.84x = 89,294,281.33
  5. Step 5: Solve for x
    x = 89,294,281.33/10,406.84
  6. Step 6: Final answer
    x = 8,580.35

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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.