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Finding the Fourth Proportional to 12,505.36, 17,256.72 and 6,916

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Solution

The fourth proportional to 12,505.36, 17,256.72 and 6,916 is: 9,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.36 : 17,256.72 = 6,916 : x
  2. Step 2: Convert to fraction form
    12,505.36/17,256.72 = 6,916/x
  3. Step 3: Cross multiply
    12,505.36x = 17,256.72 × 6,916
  4. Step 4: Simplify right side
    12,505.36x = 119,347,475.52
  5. Step 5: Solve for x
    x = 119,347,475.52/12,505.36
  6. Step 6: Final answer
    x = 9,543.71

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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.