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Finding the Fourth Proportional to 8,384.18, 11,570.86 and 5,406.22

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Solution

The fourth proportional to 8,384.18, 11,570.86 and 5,406.22 is: 7,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.18 : 11,570.86 = 5,406.22 : x
  2. Step 2: Convert to fraction form
    8,384.18/11,570.86 = 5,406.22/x
  3. Step 3: Cross multiply
    8,384.18x = 11,570.86 × 5,406.22
  4. Step 4: Simplify right side
    8,384.18x = 62,554,614.75
  5. Step 5: Solve for x
    x = 62,554,614.75/8,384.18
  6. Step 6: Final answer
    x = 7,461.03

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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.