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Finding the Fourth Proportional to 10,205.31, 15,314.49 and 6,510.18

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Solution

The fourth proportional to 10,205.31, 15,314.49 and 6,510.18 is: 9,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.31 : 15,314.49 = 6,510.18 : x
  2. Step 2: Convert to fraction form
    10,205.31/15,314.49 = 6,510.18/x
  3. Step 3: Cross multiply
    10,205.31x = 15,314.49 × 6,510.18
  4. Step 4: Simplify right side
    10,205.31x = 99,700,086.51
  5. Step 5: Solve for x
    x = 99,700,086.51/10,205.31
  6. Step 6: Final answer
    x = 9,769.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.