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Finding the Fourth Proportional to 7,704.16, 10,619.40 and 5,461.36

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Solution

The fourth proportional to 7,704.16, 10,619.40 and 5,461.36 is: 7,527.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.16 : 10,619.40 = 5,461.36 : x
  2. Step 2: Convert to fraction form
    7,704.16/10,619.40 = 5,461.36/x
  3. Step 3: Cross multiply
    7,704.16x = 10,619.40 × 5,461.36
  4. Step 4: Simplify right side
    7,704.16x = 57,996,366.38
  5. Step 5: Solve for x
    x = 57,996,366.38/7,704.16
  6. Step 6: Final answer
    x = 7,527.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.