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Finding the Fourth Proportional to 10,708, 14,786.16 and 6,735.76

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Solution

The fourth proportional to 10,708, 14,786.16 and 6,735.76 is: 9,301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708 : 14,786.16 = 6,735.76 : x
  2. Step 2: Convert to fraction form
    10,708/14,786.16 = 6,735.76/x
  3. Step 3: Cross multiply
    10,708x = 14,786.16 × 6,735.76
  4. Step 4: Simplify right side
    10,708x = 99,596,025.08
  5. Step 5: Solve for x
    x = 99,596,025.08/10,708
  6. Step 6: Final answer
    x = 9,301.09

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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.