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Finding the Fourth Proportional to 8,566.24, 11,821.80 and 6,700

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Solution

The fourth proportional to 8,566.24, 11,821.80 and 6,700 is: 9,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.24 : 11,821.80 = 6,700 : x
  2. Step 2: Convert to fraction form
    8,566.24/11,821.80 = 6,700/x
  3. Step 3: Cross multiply
    8,566.24x = 11,821.80 × 6,700
  4. Step 4: Simplify right side
    8,566.24x = 79,206,060
  5. Step 5: Solve for x
    x = 79,206,060/8,566.24
  6. Step 6: Final answer
    x = 9,246.30

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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.