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Finding the Fourth Proportional to 7,569.48, 11,338.74 and 3,670.68

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Solution

The fourth proportional to 7,569.48, 11,338.74 and 3,670.68 is: 5,498.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.48 : 11,338.74 = 3,670.68 : x
  2. Step 2: Convert to fraction form
    7,569.48/11,338.74 = 3,670.68/x
  3. Step 3: Cross multiply
    7,569.48x = 11,338.74 × 3,670.68
  4. Step 4: Simplify right side
    7,569.48x = 41,620,886.14
  5. Step 5: Solve for x
    x = 41,620,886.14/7,569.48
  6. Step 6: Final answer
    x = 5,498.51

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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.