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Finding the Fourth Proportional to 10,133.64, 13,984.62 and 5,885.05

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Solution

The fourth proportional to 10,133.64, 13,984.62 and 5,885.05 is: 8,121.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.64 : 13,984.62 = 5,885.05 : x
  2. Step 2: Convert to fraction form
    10,133.64/13,984.62 = 5,885.05/x
  3. Step 3: Cross multiply
    10,133.64x = 13,984.62 × 5,885.05
  4. Step 4: Simplify right side
    10,133.64x = 82,300,158.51
  5. Step 5: Solve for x
    x = 82,300,158.51/10,133.64
  6. Step 6: Final answer
    x = 8,121.48

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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.