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Finding the Fourth Proportional to 10,441.52, 14,410.68 and 6,726.32

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Solution

The fourth proportional to 10,441.52, 14,410.68 and 6,726.32 is: 9,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.52 : 14,410.68 = 6,726.32 : x
  2. Step 2: Convert to fraction form
    10,441.52/14,410.68 = 6,726.32/x
  3. Step 3: Cross multiply
    10,441.52x = 14,410.68 × 6,726.32
  4. Step 4: Simplify right side
    10,441.52x = 96,930,845.10
  5. Step 5: Solve for x
    x = 96,930,845.10/10,441.52
  6. Step 6: Final answer
    x = 9,283.21

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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.