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Finding the Fourth Proportional to 11,445.60, 17,166.13 and 6,698.90

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Solution

The fourth proportional to 11,445.60, 17,166.13 and 6,698.90 is: 10,047.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445.60 : 17,166.13 = 6,698.90 : x
  2. Step 2: Convert to fraction form
    11,445.60/17,166.13 = 6,698.90/x
  3. Step 3: Cross multiply
    11,445.60x = 17,166.13 × 6,698.90
  4. Step 4: Simplify right side
    11,445.60x = 114,994,214.43
  5. Step 5: Solve for x
    x = 114,994,214.43/11,445.60
  6. Step 6: Final answer
    x = 10,047.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.