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Finding the Fourth Proportional to 8,484.98, 11,698.54 and 7,049.09

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Solution

The fourth proportional to 8,484.98, 11,698.54 and 7,049.09 is: 9,718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.98 : 11,698.54 = 7,049.09 : x
  2. Step 2: Convert to fraction form
    8,484.98/11,698.54 = 7,049.09/x
  3. Step 3: Cross multiply
    8,484.98x = 11,698.54 × 7,049.09
  4. Step 4: Simplify right side
    8,484.98x = 82,464,002.84
  5. Step 5: Solve for x
    x = 82,464,002.84/8,484.98
  6. Step 6: Final answer
    x = 9,718.82

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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.