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Finding the Fourth Proportional to 8,566.84, 11,828.94 and 6,574.24

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Solution

The fourth proportional to 8,566.84, 11,828.94 and 6,574.24 is: 9,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.84 : 11,828.94 = 6,574.24 : x
  2. Step 2: Convert to fraction form
    8,566.84/11,828.94 = 6,574.24/x
  3. Step 3: Cross multiply
    8,566.84x = 11,828.94 × 6,574.24
  4. Step 4: Simplify right side
    8,566.84x = 77,766,290.51
  5. Step 5: Solve for x
    x = 77,766,290.51/8,566.84
  6. Step 6: Final answer
    x = 9,077.59

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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.