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Finding the Fourth Proportional to 11,858.30, 16,364.93 and 6,822.52

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Solution

The fourth proportional to 11,858.30, 16,364.93 and 6,822.52 is: 9,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.30 : 16,364.93 = 6,822.52 : x
  2. Step 2: Convert to fraction form
    11,858.30/16,364.93 = 6,822.52/x
  3. Step 3: Cross multiply
    11,858.30x = 16,364.93 × 6,822.52
  4. Step 4: Simplify right side
    11,858.30x = 111,650,062.22
  5. Step 5: Solve for x
    x = 111,650,062.22/11,858.30
  6. Step 6: Final answer
    x = 9,415.35

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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.