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Finding the Fourth Proportional to 10,605.60, 14,633.19 and 6,357.96

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Solution

The fourth proportional to 10,605.60, 14,633.19 and 6,357.96 is: 8,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.60 : 14,633.19 = 6,357.96 : x
  2. Step 2: Convert to fraction form
    10,605.60/14,633.19 = 6,357.96/x
  3. Step 3: Cross multiply
    10,605.60x = 14,633.19 × 6,357.96
  4. Step 4: Simplify right side
    10,605.60x = 93,037,236.69
  5. Step 5: Solve for x
    x = 93,037,236.69/10,605.60
  6. Step 6: Final answer
    x = 8,772.46

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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.