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Finding the Fourth Proportional to 11,730.60, 17,597.43 and 3,830.36

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Solution

The fourth proportional to 11,730.60, 17,597.43 and 3,830.36 is: 5,746.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.60 : 17,597.43 = 3,830.36 : x
  2. Step 2: Convert to fraction form
    11,730.60/17,597.43 = 3,830.36/x
  3. Step 3: Cross multiply
    11,730.60x = 17,597.43 × 3,830.36
  4. Step 4: Simplify right side
    11,730.60x = 67,404,403.99
  5. Step 5: Solve for x
    x = 67,404,403.99/11,730.60
  6. Step 6: Final answer
    x = 5,746.03

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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.