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Finding the Fourth Proportional to 10,313.96, 14,233.64 and 5,837.45

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Solution

The fourth proportional to 10,313.96, 14,233.64 and 5,837.45 is: 8,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.96 : 14,233.64 = 5,837.45 : x
  2. Step 2: Convert to fraction form
    10,313.96/14,233.64 = 5,837.45/x
  3. Step 3: Cross multiply
    10,313.96x = 14,233.64 × 5,837.45
  4. Step 4: Simplify right side
    10,313.96x = 83,088,061.46
  5. Step 5: Solve for x
    x = 83,088,061.46/10,313.96
  6. Step 6: Final answer
    x = 8,055.89

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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.