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Finding the Fourth Proportional to 7,808.16, 10,775.46 and 4,666.14

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Solution

The fourth proportional to 7,808.16, 10,775.46 and 4,666.14 is: 6,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.16 : 10,775.46 = 4,666.14 : x
  2. Step 2: Convert to fraction form
    7,808.16/10,775.46 = 4,666.14/x
  3. Step 3: Cross multiply
    7,808.16x = 10,775.46 × 4,666.14
  4. Step 4: Simplify right side
    7,808.16x = 50,279,804.92
  5. Step 5: Solve for x
    x = 50,279,804.92/7,808.16
  6. Step 6: Final answer
    x = 6,439.39

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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.