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Finding the Fourth Proportional to 7,763.09, 10,715.63 and 4,576.28

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Solution

The fourth proportional to 7,763.09, 10,715.63 and 4,576.28 is: 6,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.09 : 10,715.63 = 4,576.28 : x
  2. Step 2: Convert to fraction form
    7,763.09/10,715.63 = 4,576.28/x
  3. Step 3: Cross multiply
    7,763.09x = 10,715.63 × 4,576.28
  4. Step 4: Simplify right side
    7,763.09x = 49,037,646.80
  5. Step 5: Solve for x
    x = 49,037,646.80/7,763.09
  6. Step 6: Final answer
    x = 6,316.77

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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.