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Finding the Fourth Proportional to 10,126.16, 13,973.43 and 6,349.16

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Solution

The fourth proportional to 10,126.16, 13,973.43 and 6,349.16 is: 8,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.16 : 13,973.43 = 6,349.16 : x
  2. Step 2: Convert to fraction form
    10,126.16/13,973.43 = 6,349.16/x
  3. Step 3: Cross multiply
    10,126.16x = 13,973.43 × 6,349.16
  4. Step 4: Simplify right side
    10,126.16x = 88,719,441.21
  5. Step 5: Solve for x
    x = 88,719,441.21/10,126.16
  6. Step 6: Final answer
    x = 8,761.41

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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.