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Finding the Fourth Proportional to 7,685.63, 10,604.28 and 5,128.36

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Solution

The fourth proportional to 7,685.63, 10,604.28 and 5,128.36 is: 7,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.63 : 10,604.28 = 5,128.36 : x
  2. Step 2: Convert to fraction form
    7,685.63/10,604.28 = 5,128.36/x
  3. Step 3: Cross multiply
    7,685.63x = 10,604.28 × 5,128.36
  4. Step 4: Simplify right side
    7,685.63x = 54,382,538.22
  5. Step 5: Solve for x
    x = 54,382,538.22/7,685.63
  6. Step 6: Final answer
    x = 7,075.88

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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.