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Finding the Fourth Proportional to 10,042.51, 13,858.76 and 5,566.36

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Solution

The fourth proportional to 10,042.51, 13,858.76 and 5,566.36 is: 7,681.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.51 : 13,858.76 = 5,566.36 : x
  2. Step 2: Convert to fraction form
    10,042.51/13,858.76 = 5,566.36/x
  3. Step 3: Cross multiply
    10,042.51x = 13,858.76 × 5,566.36
  4. Step 4: Simplify right side
    10,042.51x = 77,142,847.31
  5. Step 5: Solve for x
    x = 77,142,847.31/10,042.51
  6. Step 6: Final answer
    x = 7,681.63

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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.