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Finding the Fourth Proportional to 10,201.72, 14,080.62 and 6,475

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Solution

The fourth proportional to 10,201.72, 14,080.62 and 6,475 is: 8,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.72 : 14,080.62 = 6,475 : x
  2. Step 2: Convert to fraction form
    10,201.72/14,080.62 = 6,475/x
  3. Step 3: Cross multiply
    10,201.72x = 14,080.62 × 6,475
  4. Step 4: Simplify right side
    10,201.72x = 91,172,014.50
  5. Step 5: Solve for x
    x = 91,172,014.50/10,201.72
  6. Step 6: Final answer
    x = 8,936.93

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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.