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Finding the Fourth Proportional to 12,833.53, 17,715.29 and 7,798.57

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Solution

The fourth proportional to 12,833.53, 17,715.29 and 7,798.57 is: 10,765.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.53 : 17,715.29 = 7,798.57 : x
  2. Step 2: Convert to fraction form
    12,833.53/17,715.29 = 7,798.57/x
  3. Step 3: Cross multiply
    12,833.53x = 17,715.29 × 7,798.57
  4. Step 4: Simplify right side
    12,833.53x = 138,153,845.85
  5. Step 5: Solve for x
    x = 138,153,845.85/12,833.53
  6. Step 6: Final answer
    x = 10,765.07

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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.