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Finding the Fourth Proportional to 6,111.63, 8,427.79 and 5,437.31

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Solution

The fourth proportional to 6,111.63, 8,427.79 and 5,437.31 is: 7,497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.63 : 8,427.79 = 5,437.31 : x
  2. Step 2: Convert to fraction form
    6,111.63/8,427.79 = 5,437.31/x
  3. Step 3: Cross multiply
    6,111.63x = 8,427.79 × 5,437.31
  4. Step 4: Simplify right side
    6,111.63x = 45,824,506.84
  5. Step 5: Solve for x
    x = 45,824,506.84/6,111.63
  6. Step 6: Final answer
    x = 7,497.92

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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.