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Finding the Fourth Proportional to 10,042.86, 13,858.77 and 5,566.68

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Solution

The fourth proportional to 10,042.86, 13,858.77 and 5,566.68 is: 7,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.86 : 13,858.77 = 5,566.68 : x
  2. Step 2: Convert to fraction form
    10,042.86/13,858.77 = 5,566.68/x
  3. Step 3: Cross multiply
    10,042.86x = 13,858.77 × 5,566.68
  4. Step 4: Simplify right side
    10,042.86x = 77,147,337.78
  5. Step 5: Solve for x
    x = 77,147,337.78/10,042.86
  6. Step 6: Final answer
    x = 7,681.81

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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.