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Finding the Fourth Proportional to 6,011.76, 8,297.88 and 4,243.68

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Solution

The fourth proportional to 6,011.76, 8,297.88 and 4,243.68 is: 5,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.76 : 8,297.88 = 4,243.68 : x
  2. Step 2: Convert to fraction form
    6,011.76/8,297.88 = 4,243.68/x
  3. Step 3: Cross multiply
    6,011.76x = 8,297.88 × 4,243.68
  4. Step 4: Simplify right side
    6,011.76x = 35,213,547.40
  5. Step 5: Solve for x
    x = 35,213,547.40/6,011.76
  6. Step 6: Final answer
    x = 5,857.44

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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.