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Finding the Fourth Proportional to 7,004.78, 9,666.46 and 3,818.10

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Solution

The fourth proportional to 7,004.78, 9,666.46 and 3,818.10 is: 5,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.78 : 9,666.46 = 3,818.10 : x
  2. Step 2: Convert to fraction form
    7,004.78/9,666.46 = 3,818.10/x
  3. Step 3: Cross multiply
    7,004.78x = 9,666.46 × 3,818.10
  4. Step 4: Simplify right side
    7,004.78x = 36,907,501.38
  5. Step 5: Solve for x
    x = 36,907,501.38/7,004.78
  6. Step 6: Final answer
    x = 5,268.91

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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.