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Finding the Fourth Proportional to 10,302.10, 14,214.92 and 6,525.88

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Solution

The fourth proportional to 10,302.10, 14,214.92 and 6,525.88 is: 9,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.10 : 14,214.92 = 6,525.88 : x
  2. Step 2: Convert to fraction form
    10,302.10/14,214.92 = 6,525.88/x
  3. Step 3: Cross multiply
    10,302.10x = 14,214.92 × 6,525.88
  4. Step 4: Simplify right side
    10,302.10x = 92,764,793.96
  5. Step 5: Solve for x
    x = 92,764,793.96/10,302.10
  6. Step 6: Final answer
    x = 9,004.46

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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.