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Finding the Fourth Proportional to 12,610.49, 17,406.29 and 7,306.61

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Solution

The fourth proportional to 12,610.49, 17,406.29 and 7,306.61 is: 10,085.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.49 : 17,406.29 = 7,306.61 : x
  2. Step 2: Convert to fraction form
    12,610.49/17,406.29 = 7,306.61/x
  3. Step 3: Cross multiply
    12,610.49x = 17,406.29 × 7,306.61
  4. Step 4: Simplify right side
    12,610.49x = 127,180,903.81
  5. Step 5: Solve for x
    x = 127,180,903.81/12,610.49
  6. Step 6: Final answer
    x = 10,085.33

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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.