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Finding the Fourth Proportional to 7,736.59, 11,599.68 and 3,574.32

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Solution

The fourth proportional to 7,736.59, 11,599.68 and 3,574.32 is: 5,359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.59 : 11,599.68 = 3,574.32 : x
  2. Step 2: Convert to fraction form
    7,736.59/11,599.68 = 3,574.32/x
  3. Step 3: Cross multiply
    7,736.59x = 11,599.68 × 3,574.32
  4. Step 4: Simplify right side
    7,736.59x = 41,460,968.22
  5. Step 5: Solve for x
    x = 41,460,968.22/7,736.59
  6. Step 6: Final answer
    x = 5,359.08

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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.