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Finding the Fourth Proportional to 11,417.44, 15,749.04 and 6,700

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Solution

The fourth proportional to 11,417.44, 15,749.04 and 6,700 is: 9,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.44 : 15,749.04 = 6,700 : x
  2. Step 2: Convert to fraction form
    11,417.44/15,749.04 = 6,700/x
  3. Step 3: Cross multiply
    11,417.44x = 15,749.04 × 6,700
  4. Step 4: Simplify right side
    11,417.44x = 105,518,568
  5. Step 5: Solve for x
    x = 105,518,568/11,417.44
  6. Step 6: Final answer
    x = 9,241.88

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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.