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Finding the Fourth Proportional to 10,042.94, 13,859.30 and 5,566.78

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Solution

The fourth proportional to 10,042.94, 13,859.30 and 5,566.78 is: 7,682.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.94 : 13,859.30 = 5,566.78 : x
  2. Step 2: Convert to fraction form
    10,042.94/13,859.30 = 5,566.78/x
  3. Step 3: Cross multiply
    10,042.94x = 13,859.30 × 5,566.78
  4. Step 4: Simplify right side
    10,042.94x = 77,151,674.05
  5. Step 5: Solve for x
    x = 77,151,674.05/10,042.94
  6. Step 6: Final answer
    x = 7,682.18

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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.