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Finding the Fourth Proportional to 7,767.53, 11,649.65 and 2,503.01

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Solution

The fourth proportional to 7,767.53, 11,649.65 and 2,503.01 is: 3,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.53 : 11,649.65 = 2,503.01 : x
  2. Step 2: Convert to fraction form
    7,767.53/11,649.65 = 2,503.01/x
  3. Step 3: Cross multiply
    7,767.53x = 11,649.65 × 2,503.01
  4. Step 4: Simplify right side
    7,767.53x = 29,159,119.68
  5. Step 5: Solve for x
    x = 29,159,119.68/7,767.53
  6. Step 6: Final answer
    x = 3,753.98

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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.