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Finding the Fourth Proportional to 10,875.67, 16,313.76 and 6,162.01

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Solution

The fourth proportional to 10,875.67, 16,313.76 and 6,162.01 is: 9,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.67 : 16,313.76 = 6,162.01 : x
  2. Step 2: Convert to fraction form
    10,875.67/16,313.76 = 6,162.01/x
  3. Step 3: Cross multiply
    10,875.67x = 16,313.76 × 6,162.01
  4. Step 4: Simplify right side
    10,875.67x = 100,525,552.26
  5. Step 5: Solve for x
    x = 100,525,552.26/10,875.67
  6. Step 6: Final answer
    x = 9,243.16

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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.