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Finding the Fourth Proportional to 6,106.08, 8,406.72 and 5,430.72

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Solution

The fourth proportional to 6,106.08, 8,406.72 and 5,430.72 is: 7,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.08 : 8,406.72 = 5,430.72 : x
  2. Step 2: Convert to fraction form
    6,106.08/8,406.72 = 5,430.72/x
  3. Step 3: Cross multiply
    6,106.08x = 8,406.72 × 5,430.72
  4. Step 4: Simplify right side
    6,106.08x = 45,654,542.44
  5. Step 5: Solve for x
    x = 45,654,542.44/6,106.08
  6. Step 6: Final answer
    x = 7,476.90

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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.