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Finding the Fourth Proportional to 10,133.46, 13,982.07 and 6,152.40

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Solution

The fourth proportional to 10,133.46, 13,982.07 and 6,152.40 is: 8,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.46 : 13,982.07 = 6,152.40 : x
  2. Step 2: Convert to fraction form
    10,133.46/13,982.07 = 6,152.40/x
  3. Step 3: Cross multiply
    10,133.46x = 13,982.07 × 6,152.40
  4. Step 4: Simplify right side
    10,133.46x = 86,023,287.47
  5. Step 5: Solve for x
    x = 86,023,287.47/10,133.46
  6. Step 6: Final answer
    x = 8,489.03

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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.