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Finding the Fourth Proportional to 10,313.86, 14,233.31 and 5,598.14

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Solution

The fourth proportional to 10,313.86, 14,233.31 and 5,598.14 is: 7,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.86 : 14,233.31 = 5,598.14 : x
  2. Step 2: Convert to fraction form
    10,313.86/14,233.31 = 5,598.14/x
  3. Step 3: Cross multiply
    10,313.86x = 14,233.31 × 5,598.14
  4. Step 4: Simplify right side
    10,313.86x = 79,680,062.04
  5. Step 5: Solve for x
    x = 79,680,062.04/10,313.86
  6. Step 6: Final answer
    x = 7,725.53

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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.