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Finding the Fourth Proportional to 7,672, 10,583.04 and 5,018.80

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Solution

The fourth proportional to 7,672, 10,583.04 and 5,018.80 is: 6,923.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672 : 10,583.04 = 5,018.80 : x
  2. Step 2: Convert to fraction form
    7,672/10,583.04 = 5,018.80/x
  3. Step 3: Cross multiply
    7,672x = 10,583.04 × 5,018.80
  4. Step 4: Simplify right side
    7,672x = 53,114,161.15
  5. Step 5: Solve for x
    x = 53,114,161.15/7,672
  6. Step 6: Final answer
    x = 6,923.12

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Why These Related Problems?

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