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Finding the Fourth Proportional to 7,648.19, 11,477.14 and 3,265.68

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Solution

The fourth proportional to 7,648.19, 11,477.14 and 3,265.68 is: 4,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.19 : 11,477.14 = 3,265.68 : x
  2. Step 2: Convert to fraction form
    7,648.19/11,477.14 = 3,265.68/x
  3. Step 3: Cross multiply
    7,648.19x = 11,477.14 × 3,265.68
  4. Step 4: Simplify right side
    7,648.19x = 37,480,666.56
  5. Step 5: Solve for x
    x = 37,480,666.56/7,648.19
  6. Step 6: Final answer
    x = 4,900.59

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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.