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Finding the Fourth Proportional to 8,142, 11,237.64 and 4,605.36

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Solution

The fourth proportional to 8,142, 11,237.64 and 4,605.36 is: 6,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142 : 11,237.64 = 4,605.36 : x
  2. Step 2: Convert to fraction form
    8,142/11,237.64 = 4,605.36/x
  3. Step 3: Cross multiply
    8,142x = 11,237.64 × 4,605.36
  4. Step 4: Simplify right side
    8,142x = 51,753,377.75
  5. Step 5: Solve for x
    x = 51,753,377.75/8,142
  6. Step 6: Final answer
    x = 6,356.35

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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.