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Finding the Fourth Proportional to 10,122.58, 13,967.51 and 5,646.22

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Solution

The fourth proportional to 10,122.58, 13,967.51 and 5,646.22 is: 7,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.58 : 13,967.51 = 5,646.22 : x
  2. Step 2: Convert to fraction form
    10,122.58/13,967.51 = 5,646.22/x
  3. Step 3: Cross multiply
    10,122.58x = 13,967.51 × 5,646.22
  4. Step 4: Simplify right side
    10,122.58x = 78,863,634.31
  5. Step 5: Solve for x
    x = 78,863,634.31/10,122.58
  6. Step 6: Final answer
    x = 7,790.86

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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.