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Finding the Fourth Proportional to 7,746.39, 11,598.93 and 6,179.04

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Solution

The fourth proportional to 7,746.39, 11,598.93 and 6,179.04 is: 9,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.39 : 11,598.93 = 6,179.04 : x
  2. Step 2: Convert to fraction form
    7,746.39/11,598.93 = 6,179.04/x
  3. Step 3: Cross multiply
    7,746.39x = 11,598.93 × 6,179.04
  4. Step 4: Simplify right side
    7,746.39x = 71,670,252.43
  5. Step 5: Solve for x
    x = 71,670,252.43/7,746.39
  6. Step 6: Final answer
    x = 9,252.08

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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.