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Finding the Fourth Proportional to 10,133.56, 13,984.93 and 5,657.30

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Solution

The fourth proportional to 10,133.56, 13,984.93 and 5,657.30 is: 7,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.56 : 13,984.93 = 5,657.30 : x
  2. Step 2: Convert to fraction form
    10,133.56/13,984.93 = 5,657.30/x
  3. Step 3: Cross multiply
    10,133.56x = 13,984.93 × 5,657.30
  4. Step 4: Simplify right side
    10,133.56x = 79,116,944.49
  5. Step 5: Solve for x
    x = 79,116,944.49/10,133.56
  6. Step 6: Final answer
    x = 7,807.42

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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.