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Finding the Fourth Proportional to 10,155, 14,014.17 and 5,679.51

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Solution

The fourth proportional to 10,155, 14,014.17 and 5,679.51 is: 7,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155 : 14,014.17 = 5,679.51 : x
  2. Step 2: Convert to fraction form
    10,155/14,014.17 = 5,679.51/x
  3. Step 3: Cross multiply
    10,155x = 14,014.17 × 5,679.51
  4. Step 4: Simplify right side
    10,155x = 79,593,618.66
  5. Step 5: Solve for x
    x = 79,593,618.66/10,155
  6. Step 6: Final answer
    x = 7,837.87

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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.