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Finding the Fourth Proportional to 10,147.58, 14,012.58 and 6,377.30

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Solution

The fourth proportional to 10,147.58, 14,012.58 and 6,377.30 is: 8,806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.58 : 14,012.58 = 6,377.30 : x
  2. Step 2: Convert to fraction form
    10,147.58/14,012.58 = 6,377.30/x
  3. Step 3: Cross multiply
    10,147.58x = 14,012.58 × 6,377.30
  4. Step 4: Simplify right side
    10,147.58x = 89,362,426.43
  5. Step 5: Solve for x
    x = 89,362,426.43/10,147.58
  6. Step 6: Final answer
    x = 8,806.28

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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.