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Finding the Fourth Proportional to 10,474.98, 15,673.95 and 6,317.58

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Solution

The fourth proportional to 10,474.98, 15,673.95 and 6,317.58 is: 9,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.98 : 15,673.95 = 6,317.58 : x
  2. Step 2: Convert to fraction form
    10,474.98/15,673.95 = 6,317.58/x
  3. Step 3: Cross multiply
    10,474.98x = 15,673.95 × 6,317.58
  4. Step 4: Simplify right side
    10,474.98x = 99,021,433.04
  5. Step 5: Solve for x
    x = 99,021,433.04/10,474.98
  6. Step 6: Final answer
    x = 9,453.14

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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.