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Finding the Fourth Proportional to 10,803.36, 14,906.52 and 7,445.16

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Solution

The fourth proportional to 10,803.36, 14,906.52 and 7,445.16 is: 10,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.36 : 14,906.52 = 7,445.16 : x
  2. Step 2: Convert to fraction form
    10,803.36/14,906.52 = 7,445.16/x
  3. Step 3: Cross multiply
    10,803.36x = 14,906.52 × 7,445.16
  4. Step 4: Simplify right side
    10,803.36x = 110,981,426.44
  5. Step 5: Solve for x
    x = 110,981,426.44/10,803.36
  6. Step 6: Final answer
    x = 10,272.86

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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.