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Finding the Fourth Proportional to 10,854.66, 14,977.52 and 6,664.26

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Solution

The fourth proportional to 10,854.66, 14,977.52 and 6,664.26 is: 9,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.66 : 14,977.52 = 6,664.26 : x
  2. Step 2: Convert to fraction form
    10,854.66/14,977.52 = 6,664.26/x
  3. Step 3: Cross multiply
    10,854.66x = 14,977.52 × 6,664.26
  4. Step 4: Simplify right side
    10,854.66x = 99,814,087.44
  5. Step 5: Solve for x
    x = 99,814,087.44/10,854.66
  6. Step 6: Final answer
    x = 9,195.51

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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.