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Finding the Fourth Proportional to 8,277.34, 11,424.10 and 6,046.60

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Solution

The fourth proportional to 8,277.34, 11,424.10 and 6,046.60 is: 8,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.34 : 11,424.10 = 6,046.60 : x
  2. Step 2: Convert to fraction form
    8,277.34/11,424.10 = 6,046.60/x
  3. Step 3: Cross multiply
    8,277.34x = 11,424.10 × 6,046.60
  4. Step 4: Simplify right side
    8,277.34x = 69,076,963.06
  5. Step 5: Solve for x
    x = 69,076,963.06/8,277.34
  6. Step 6: Final answer
    x = 8,345.31

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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.