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Finding the Fourth Proportional to 10,313.46, 14,232.89 and 6,063.75

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Solution

The fourth proportional to 10,313.46, 14,232.89 and 6,063.75 is: 8,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.46 : 14,232.89 = 6,063.75 : x
  2. Step 2: Convert to fraction form
    10,313.46/14,232.89 = 6,063.75/x
  3. Step 3: Cross multiply
    10,313.46x = 14,232.89 × 6,063.75
  4. Step 4: Simplify right side
    10,313.46x = 86,304,701.90
  5. Step 5: Solve for x
    x = 86,304,701.90/10,313.46
  6. Step 6: Final answer
    x = 8,368.16

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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.