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Finding the Fourth Proportional to 10,708.64, 16,065.68 and 4,133.06

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Solution

The fourth proportional to 10,708.64, 16,065.68 and 4,133.06 is: 6,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.64 : 16,065.68 = 4,133.06 : x
  2. Step 2: Convert to fraction form
    10,708.64/16,065.68 = 4,133.06/x
  3. Step 3: Cross multiply
    10,708.64x = 16,065.68 × 4,133.06
  4. Step 4: Simplify right side
    10,708.64x = 66,400,419.38
  5. Step 5: Solve for x
    x = 66,400,419.38/10,708.64
  6. Step 6: Final answer
    x = 6,200.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.