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Finding the Fourth Proportional to 10,808.76, 14,917.73 and 7,823.51

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Solution

The fourth proportional to 10,808.76, 14,917.73 and 7,823.51 is: 10,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.76 : 14,917.73 = 7,823.51 : x
  2. Step 2: Convert to fraction form
    10,808.76/14,917.73 = 7,823.51/x
  3. Step 3: Cross multiply
    10,808.76x = 14,917.73 × 7,823.51
  4. Step 4: Simplify right side
    10,808.76x = 116,709,009.83
  5. Step 5: Solve for x
    x = 116,709,009.83/10,808.76
  6. Step 6: Final answer
    x = 10,797.63

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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.