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Finding the Fourth Proportional to 10,671.57, 14,727.42 and 7,080.21

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Solution

The fourth proportional to 10,671.57, 14,727.42 and 7,080.21 is: 9,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.57 : 14,727.42 = 7,080.21 : x
  2. Step 2: Convert to fraction form
    10,671.57/14,727.42 = 7,080.21/x
  3. Step 3: Cross multiply
    10,671.57x = 14,727.42 × 7,080.21
  4. Step 4: Simplify right side
    10,671.57x = 104,273,226.36
  5. Step 5: Solve for x
    x = 104,273,226.36/10,671.57
  6. Step 6: Final answer
    x = 9,771.12

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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.