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Finding the Fourth Proportional to 7,676.16, 11,505.93 and 3,719.04

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Solution

The fourth proportional to 7,676.16, 11,505.93 and 3,719.04 is: 5,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.16 : 11,505.93 = 3,719.04 : x
  2. Step 2: Convert to fraction form
    7,676.16/11,505.93 = 3,719.04/x
  3. Step 3: Cross multiply
    7,676.16x = 11,505.93 × 3,719.04
  4. Step 4: Simplify right side
    7,676.16x = 42,791,013.91
  5. Step 5: Solve for x
    x = 42,791,013.91/7,676.16
  6. Step 6: Final answer
    x = 5,574.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.