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Finding the Fourth Proportional to 6,475.68, 9,716.76 and 2,582.82

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Solution

The fourth proportional to 6,475.68, 9,716.76 and 2,582.82 is: 3,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.68 : 9,716.76 = 2,582.82 : x
  2. Step 2: Convert to fraction form
    6,475.68/9,716.76 = 2,582.82/x
  3. Step 3: Cross multiply
    6,475.68x = 9,716.76 × 2,582.82
  4. Step 4: Simplify right side
    6,475.68x = 25,096,642.06
  5. Step 5: Solve for x
    x = 25,096,642.06/6,475.68
  6. Step 6: Final answer
    x = 3,875.52

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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.