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Finding the Fourth Proportional to 7,716.54, 11,600.43 and 6,340.08

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Solution

The fourth proportional to 7,716.54, 11,600.43 and 6,340.08 is: 9,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.54 : 11,600.43 = 6,340.08 : x
  2. Step 2: Convert to fraction form
    7,716.54/11,600.43 = 6,340.08/x
  3. Step 3: Cross multiply
    7,716.54x = 11,600.43 × 6,340.08
  4. Step 4: Simplify right side
    7,716.54x = 73,547,654.23
  5. Step 5: Solve for x
    x = 73,547,654.23/7,716.54
  6. Step 6: Final answer
    x = 9,531.17

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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.