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Finding the Fourth Proportional to 5,406.16, 8,111.76 and 5,318.80

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Solution

The fourth proportional to 5,406.16, 8,111.76 and 5,318.80 is: 7,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.16 : 8,111.76 = 5,318.80 : x
  2. Step 2: Convert to fraction form
    5,406.16/8,111.76 = 5,318.80/x
  3. Step 3: Cross multiply
    5,406.16x = 8,111.76 × 5,318.80
  4. Step 4: Simplify right side
    5,406.16x = 43,144,829.09
  5. Step 5: Solve for x
    x = 43,144,829.09/5,406.16
  6. Step 6: Final answer
    x = 7,980.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.