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Finding the Fourth Proportional to 10,707.75, 14,781.83 and 7,128.68

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Solution

The fourth proportional to 10,707.75, 14,781.83 and 7,128.68 is: 9,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.75 : 14,781.83 = 7,128.68 : x
  2. Step 2: Convert to fraction form
    10,707.75/14,781.83 = 7,128.68/x
  3. Step 3: Cross multiply
    10,707.75x = 14,781.83 × 7,128.68
  4. Step 4: Simplify right side
    10,707.75x = 105,374,826.33
  5. Step 5: Solve for x
    x = 105,374,826.33/10,707.75
  6. Step 6: Final answer
    x = 9,840.99

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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.