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Finding the Fourth Proportional to 10,185.62, 15,269.31 and 6,477.44

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Solution

The fourth proportional to 10,185.62, 15,269.31 and 6,477.44 is: 9,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.62 : 15,269.31 = 6,477.44 : x
  2. Step 2: Convert to fraction form
    10,185.62/15,269.31 = 6,477.44/x
  3. Step 3: Cross multiply
    10,185.62x = 15,269.31 × 6,477.44
  4. Step 4: Simplify right side
    10,185.62x = 98,905,963.02
  5. Step 5: Solve for x
    x = 98,905,963.02/10,185.62
  6. Step 6: Final answer
    x = 9,710.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.