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Finding the Fourth Proportional to 8,270, 11,410.80 and 4,913.94

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Solution

The fourth proportional to 8,270, 11,410.80 and 4,913.94 is: 6,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270 : 11,410.80 = 4,913.94 : x
  2. Step 2: Convert to fraction form
    8,270/11,410.80 = 4,913.94/x
  3. Step 3: Cross multiply
    8,270x = 11,410.80 × 4,913.94
  4. Step 4: Simplify right side
    8,270x = 56,071,986.55
  5. Step 5: Solve for x
    x = 56,071,986.55/8,270
  6. Step 6: Final answer
    x = 6,780.17

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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.