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Finding the Fourth Proportional to 10,042.94, 13,859.76 and 5,567.18

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Solution

The fourth proportional to 10,042.94, 13,859.76 and 5,567.18 is: 7,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.94 : 13,859.76 = 5,567.18 : x
  2. Step 2: Convert to fraction form
    10,042.94/13,859.76 = 5,567.18/x
  3. Step 3: Cross multiply
    10,042.94x = 13,859.76 × 5,567.18
  4. Step 4: Simplify right side
    10,042.94x = 77,159,778.68
  5. Step 5: Solve for x
    x = 77,159,778.68/10,042.94
  6. Step 6: Final answer
    x = 7,682.99

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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.