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Finding the Fourth Proportional to 10,644.48, 14,688.54 and 6,168.42

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Solution

The fourth proportional to 10,644.48, 14,688.54 and 6,168.42 is: 8,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.48 : 14,688.54 = 6,168.42 : x
  2. Step 2: Convert to fraction form
    10,644.48/14,688.54 = 6,168.42/x
  3. Step 3: Cross multiply
    10,644.48x = 14,688.54 × 6,168.42
  4. Step 4: Simplify right side
    10,644.48x = 90,605,083.91
  5. Step 5: Solve for x
    x = 90,605,083.91/10,644.48
  6. Step 6: Final answer
    x = 8,511.93

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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.