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Finding the Fourth Proportional to 7,678.13, 11,519.01 and 2,484

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Solution

The fourth proportional to 7,678.13, 11,519.01 and 2,484 is: 3,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.13 : 11,519.01 = 2,484 : x
  2. Step 2: Convert to fraction form
    7,678.13/11,519.01 = 2,484/x
  3. Step 3: Cross multiply
    7,678.13x = 11,519.01 × 2,484
  4. Step 4: Simplify right side
    7,678.13x = 28,613,220.84
  5. Step 5: Solve for x
    x = 28,613,220.84/7,678.13
  6. Step 6: Final answer
    x = 3,726.59

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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.