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Finding the Fourth Proportional to 10,676.34, 14,741.32 and 6,901.88

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Solution

The fourth proportional to 10,676.34, 14,741.32 and 6,901.88 is: 9,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.34 : 14,741.32 = 6,901.88 : x
  2. Step 2: Convert to fraction form
    10,676.34/14,741.32 = 6,901.88/x
  3. Step 3: Cross multiply
    10,676.34x = 14,741.32 × 6,901.88
  4. Step 4: Simplify right side
    10,676.34x = 101,742,821.68
  5. Step 5: Solve for x
    x = 101,742,821.68/10,676.34
  6. Step 6: Final answer
    x = 9,529.75

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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.