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Finding the Fourth Proportional to 8,167.83, 11,271.28 and 4,631.16

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Solution

The fourth proportional to 8,167.83, 11,271.28 and 4,631.16 is: 6,390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.83 : 11,271.28 = 4,631.16 : x
  2. Step 2: Convert to fraction form
    8,167.83/11,271.28 = 4,631.16/x
  3. Step 3: Cross multiply
    8,167.83x = 11,271.28 × 4,631.16
  4. Step 4: Simplify right side
    8,167.83x = 52,199,101.08
  5. Step 5: Solve for x
    x = 52,199,101.08/8,167.83
  6. Step 6: Final answer
    x = 6,390.82

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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.