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Finding the Fourth Proportional to 10,501.88, 15,758.31 and 9,896.81

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Solution

The fourth proportional to 10,501.88, 15,758.31 and 9,896.81 is: 14,850.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.88 : 15,758.31 = 9,896.81 : x
  2. Step 2: Convert to fraction form
    10,501.88/15,758.31 = 9,896.81/x
  3. Step 3: Cross multiply
    10,501.88x = 15,758.31 × 9,896.81
  4. Step 4: Simplify right side
    10,501.88x = 155,956,999.99
  5. Step 5: Solve for x
    x = 155,956,999.99/10,501.88
  6. Step 6: Final answer
    x = 14,850.39

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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.