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Finding the Fourth Proportional to 8,097.50, 11,175.35 and 4,740.11

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Solution

The fourth proportional to 8,097.50, 11,175.35 and 4,740.11 is: 6,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.50 : 11,175.35 = 4,740.11 : x
  2. Step 2: Convert to fraction form
    8,097.50/11,175.35 = 4,740.11/x
  3. Step 3: Cross multiply
    8,097.50x = 11,175.35 × 4,740.11
  4. Step 4: Simplify right side
    8,097.50x = 52,972,308.71
  5. Step 5: Solve for x
    x = 52,972,308.71/8,097.50
  6. Step 6: Final answer
    x = 6,541.81

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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.