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Finding the Fourth Proportional to 8,410.14, 11,598.12 and 6,645.96

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Solution

The fourth proportional to 8,410.14, 11,598.12 and 6,645.96 is: 9,165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.14 : 11,598.12 = 6,645.96 : x
  2. Step 2: Convert to fraction form
    8,410.14/11,598.12 = 6,645.96/x
  3. Step 3: Cross multiply
    8,410.14x = 11,598.12 × 6,645.96
  4. Step 4: Simplify right side
    8,410.14x = 77,080,641.60
  5. Step 5: Solve for x
    x = 77,080,641.60/8,410.14
  6. Step 6: Final answer
    x = 9,165.20

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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.