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Finding the Fourth Proportional to 8,158.93, 11,281.98 and 6,477.42

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Solution

The fourth proportional to 8,158.93, 11,281.98 and 6,477.42 is: 8,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.93 : 11,281.98 = 6,477.42 : x
  2. Step 2: Convert to fraction form
    8,158.93/11,281.98 = 6,477.42/x
  3. Step 3: Cross multiply
    8,158.93x = 11,281.98 × 6,477.42
  4. Step 4: Simplify right side
    8,158.93x = 73,078,126.03
  5. Step 5: Solve for x
    x = 73,078,126.03/8,158.93
  6. Step 6: Final answer
    x = 8,956.83

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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.