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Finding the Fourth Proportional to 10,318, 14,240.64 and 6,126.16

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Solution

The fourth proportional to 10,318, 14,240.64 and 6,126.16 is: 8,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318 : 14,240.64 = 6,126.16 : x
  2. Step 2: Convert to fraction form
    10,318/14,240.64 = 6,126.16/x
  3. Step 3: Cross multiply
    10,318x = 14,240.64 × 6,126.16
  4. Step 4: Simplify right side
    10,318x = 87,240,439.14
  5. Step 5: Solve for x
    x = 87,240,439.14/10,318
  6. Step 6: Final answer
    x = 8,455.17

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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.