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Finding the Fourth Proportional to 12,315.12, 17,000.46 and 7,845

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Solution

The fourth proportional to 12,315.12, 17,000.46 and 7,845 is: 10,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,315.12 : 17,000.46 = 7,845 : x
  2. Step 2: Convert to fraction form
    12,315.12/17,000.46 = 7,845/x
  3. Step 3: Cross multiply
    12,315.12x = 17,000.46 × 7,845
  4. Step 4: Simplify right side
    12,315.12x = 133,368,608.70
  5. Step 5: Solve for x
    x = 133,368,608.70/12,315.12
  6. Step 6: Final answer
    x = 10,829.66

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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.