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Finding the Fourth Proportional to 7,467.59, 10,304.66 and 4,109.87

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Solution

The fourth proportional to 7,467.59, 10,304.66 and 4,109.87 is: 5,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.59 : 10,304.66 = 4,109.87 : x
  2. Step 2: Convert to fraction form
    7,467.59/10,304.66 = 4,109.87/x
  3. Step 3: Cross multiply
    7,467.59x = 10,304.66 × 4,109.87
  4. Step 4: Simplify right side
    7,467.59x = 42,350,771.75
  5. Step 5: Solve for x
    x = 42,350,771.75/7,467.59
  6. Step 6: Final answer
    x = 5,671.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.