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Finding the Fourth Proportional to 10,313.73, 14,232.86 and 5,598.01

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Solution

The fourth proportional to 10,313.73, 14,232.86 and 5,598.01 is: 7,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.73 : 14,232.86 = 5,598.01 : x
  2. Step 2: Convert to fraction form
    10,313.73/14,232.86 = 5,598.01/x
  3. Step 3: Cross multiply
    10,313.73x = 14,232.86 × 5,598.01
  4. Step 4: Simplify right side
    10,313.73x = 79,675,734.89
  5. Step 5: Solve for x
    x = 79,675,734.89/10,313.73
  6. Step 6: Final answer
    x = 7,725.21

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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.