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Finding the Fourth Proportional to 6,128.78, 8,466.33 and 5,465.42

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Solution

The fourth proportional to 6,128.78, 8,466.33 and 5,465.42 is: 7,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.78 : 8,466.33 = 5,465.42 : x
  2. Step 2: Convert to fraction form
    6,128.78/8,466.33 = 5,465.42/x
  3. Step 3: Cross multiply
    6,128.78x = 8,466.33 × 5,465.42
  4. Step 4: Simplify right side
    6,128.78x = 46,272,049.31
  5. Step 5: Solve for x
    x = 46,272,049.31/6,128.78
  6. Step 6: Final answer
    x = 7,549.96

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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.