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Finding the Fourth Proportional to 6,128.28, 8,465.64 and 5,464.92

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Solution

The fourth proportional to 6,128.28, 8,465.64 and 5,464.92 is: 7,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.28 : 8,465.64 = 5,464.92 : x
  2. Step 2: Convert to fraction form
    6,128.28/8,465.64 = 5,464.92/x
  3. Step 3: Cross multiply
    6,128.28x = 8,465.64 × 5,464.92
  4. Step 4: Simplify right side
    6,128.28x = 46,264,045.35
  5. Step 5: Solve for x
    x = 46,264,045.35/6,128.28
  6. Step 6: Final answer
    x = 7,549.27

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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.