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Finding the Fourth Proportional to 12,610.34, 17,402.11 and 7,305.65

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Solution

The fourth proportional to 12,610.34, 17,402.11 and 7,305.65 is: 10,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.34 : 17,402.11 = 7,305.65 : x
  2. Step 2: Convert to fraction form
    12,610.34/17,402.11 = 7,305.65/x
  3. Step 3: Cross multiply
    12,610.34x = 17,402.11 × 7,305.65
  4. Step 4: Simplify right side
    12,610.34x = 127,133,750.16
  5. Step 5: Solve for x
    x = 127,133,750.16/12,610.34
  6. Step 6: Final answer
    x = 10,081.70

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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.