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Finding the Fourth Proportional to 10,313.41, 14,230.07 and 5,837.16

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Solution

The fourth proportional to 10,313.41, 14,230.07 and 5,837.16 is: 8,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.41 : 14,230.07 = 5,837.16 : x
  2. Step 2: Convert to fraction form
    10,313.41/14,230.07 = 5,837.16/x
  3. Step 3: Cross multiply
    10,313.41x = 14,230.07 × 5,837.16
  4. Step 4: Simplify right side
    10,313.41x = 83,063,184.00
  5. Step 5: Solve for x
    x = 83,063,184.00/10,313.41
  6. Step 6: Final answer
    x = 8,053.90

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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.