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Finding the Fourth Proportional to 10,810.26, 14,920.96 and 7,042.82

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Solution

The fourth proportional to 10,810.26, 14,920.96 and 7,042.82 is: 9,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.26 : 14,920.96 = 7,042.82 : x
  2. Step 2: Convert to fraction form
    10,810.26/14,920.96 = 7,042.82/x
  3. Step 3: Cross multiply
    10,810.26x = 14,920.96 × 7,042.82
  4. Step 4: Simplify right side
    10,810.26x = 105,085,635.51
  5. Step 5: Solve for x
    x = 105,085,635.51/10,810.26
  6. Step 6: Final answer
    x = 9,720.92

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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.