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Finding the Fourth Proportional to 10,133.84, 13,983.72 and 5,657.24

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Solution

The fourth proportional to 10,133.84, 13,983.72 and 5,657.24 is: 7,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.84 : 13,983.72 = 5,657.24 : x
  2. Step 2: Convert to fraction form
    10,133.84/13,983.72 = 5,657.24/x
  3. Step 3: Cross multiply
    10,133.84x = 13,983.72 × 5,657.24
  4. Step 4: Simplify right side
    10,133.84x = 79,109,260.13
  5. Step 5: Solve for x
    x = 79,109,260.13/10,133.84
  6. Step 6: Final answer
    x = 7,806.44

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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.