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Finding the Fourth Proportional to 10,677.22, 14,730.33 and 7,134.82

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Solution

The fourth proportional to 10,677.22, 14,730.33 and 7,134.82 is: 9,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.22 : 14,730.33 = 7,134.82 : x
  2. Step 2: Convert to fraction form
    10,677.22/14,730.33 = 7,134.82/x
  3. Step 3: Cross multiply
    10,677.22x = 14,730.33 × 7,134.82
  4. Step 4: Simplify right side
    10,677.22x = 105,098,253.09
  5. Step 5: Solve for x
    x = 105,098,253.09/10,677.22
  6. Step 6: Final answer
    x = 9,843.22

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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.