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Finding the Fourth Proportional to 10,463.88, 15,676.38 and 6,299.40

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Solution

The fourth proportional to 10,463.88, 15,676.38 and 6,299.40 is: 9,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.88 : 15,676.38 = 6,299.40 : x
  2. Step 2: Convert to fraction form
    10,463.88/15,676.38 = 6,299.40/x
  3. Step 3: Cross multiply
    10,463.88x = 15,676.38 × 6,299.40
  4. Step 4: Simplify right side
    10,463.88x = 98,751,788.17
  5. Step 5: Solve for x
    x = 98,751,788.17/10,463.88
  6. Step 6: Final answer
    x = 9,437.40

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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.