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Finding the Fourth Proportional to 10,380.44, 14,328.06 and 7,237.64

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Solution

The fourth proportional to 10,380.44, 14,328.06 and 7,237.64 is: 9,990.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.44 : 14,328.06 = 7,237.64 : x
  2. Step 2: Convert to fraction form
    10,380.44/14,328.06 = 7,237.64/x
  3. Step 3: Cross multiply
    10,380.44x = 14,328.06 × 7,237.64
  4. Step 4: Simplify right side
    10,380.44x = 103,701,340.18
  5. Step 5: Solve for x
    x = 103,701,340.18/10,380.44
  6. Step 6: Final answer
    x = 9,990.07

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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.