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Finding the Fourth Proportional to 8,164.88, 11,271.72 and 7,368.08

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Solution

The fourth proportional to 8,164.88, 11,271.72 and 7,368.08 is: 10,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.88 : 11,271.72 = 7,368.08 : x
  2. Step 2: Convert to fraction form
    8,164.88/11,271.72 = 7,368.08/x
  3. Step 3: Cross multiply
    8,164.88x = 11,271.72 × 7,368.08
  4. Step 4: Simplify right side
    8,164.88x = 83,050,934.70
  5. Step 5: Solve for x
    x = 83,050,934.70/8,164.88
  6. Step 6: Final answer
    x = 10,171.73

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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.