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Finding the Fourth Proportional to 13,010.94, 17,955.14 and 7,042.68

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Solution

The fourth proportional to 13,010.94, 17,955.14 and 7,042.68 is: 9,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.94 : 17,955.14 = 7,042.68 : x
  2. Step 2: Convert to fraction form
    13,010.94/17,955.14 = 7,042.68/x
  3. Step 3: Cross multiply
    13,010.94x = 17,955.14 × 7,042.68
  4. Step 4: Simplify right side
    13,010.94x = 126,452,305.38
  5. Step 5: Solve for x
    x = 126,452,305.38/13,010.94
  6. Step 6: Final answer
    x = 9,718.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.