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Finding the Fourth Proportional to 6,510.94, 9,760.93 and 5,275.29

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Solution

The fourth proportional to 6,510.94, 9,760.93 and 5,275.29 is: 7,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.94 : 9,760.93 = 5,275.29 : x
  2. Step 2: Convert to fraction form
    6,510.94/9,760.93 = 5,275.29/x
  3. Step 3: Cross multiply
    6,510.94x = 9,760.93 × 5,275.29
  4. Step 4: Simplify right side
    6,510.94x = 51,491,661.24
  5. Step 5: Solve for x
    x = 51,491,661.24/6,510.94
  6. Step 6: Final answer
    x = 7,908.48

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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.